359434920 has 128 divisors (see below), whose sum is σ = 1172102400. Its totient is φ = 87650304.

The previous prime is 359434919. The next prime is 359434921. The reversal of 359434920 is 29434953.

It is an interprime number because it is at equal distance from previous prime (359434919) and next prime (359434921).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (359434921) 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 31 ways as a sum of consecutive naturals, for example, 175261 + ... + 177299.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

Almost surely, 2^359434920 is an apocalyptic number.

359434920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

359434920 is an abundant number, since it is smaller than the sum of its proper divisors (812667480).

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

359434920 is a wasteful number, since it uses less digits than its factorization.

359434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 359434920 is about 18958.7689473763. The cubic root of 359434920 is about 711.0062568561.

The spelling of 359434920 in words is "three hundred fifty-nine million, four hundred thirty-four thousand, nine hundred twenty".