359090400 has 144 divisors (see below), whose sum is σ = 1177518384. Its totient is φ = 95047680.

The previous prime is 359090399. The next prime is 359090401. The reversal of 359090400 is 4090953.

It is an interprime number because it is at equal distance from previous prime (359090399) and next prime (359090401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359090401) 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 23 ways as a sum of consecutive naturals, for example, 376324 + ... + 377276.

It is an arithmetic number, because the mean of its divisors is an integer number (8177211).

Almost surely, 2^359090400 is an apocalyptic number.

359090400 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 359090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588759192).

359090400 is an abundant number, since it is smaller than the sum of its proper divisors (818427984).

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

359090400 is a wasteful number, since it uses less digits than its factorization.

359090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 359090400 is about 18949.6807360968. The cubic root of 359090400 is about 710.7790166638.

The spelling of 359090400 in words is "three hundred fifty-nine million, ninety thousand, four hundred".