359254116 has 117 divisors (see below), whose sum is σ = 1021163241. Its totient is φ = 110539728.

The previous prime is 359254111. The next prime is 359254123. The reversal of 359254116 is 611452953.

The square root of 359254116 is 18954.

It is a perfect power (a square), and thus also a powerful number.

359254116 is a `hidden beast` number, since 3 + 592 + 54 + 1 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 306110016 = 7290^2 + 17496^2 .

It is a tau number, because it is divible by the number of its divisors (117).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32400) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (359254111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 27634926 + ... + 27634938.

Almost surely, 2^359254116 is an apocalyptic number.

359254116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

359254116 is the 18954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359254116

359254116 is an abundant number, since it is smaller than the sum of its proper divisors (661909125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

359254116 is an frugal number, since it uses more digits than its factorization.

359254116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The cubic root of 359254116 is about 710.8870193817.

Multiplying 359254116 by its sum of digits (36), we get a square (12933148176 = 113724²).

359254116 divided by its sum of digits (36) gives a square (9979281 = 3159²).

Multiplying 359254116 by its product of digits (32400), we get a square (11639833358400 = 3411720²).

The spelling of 359254116 in words is "three hundred fifty-nine million, two hundred fifty-four thousand, one hundred sixteen".