359372052 has 120 divisors (see below), whose sum is σ = 1036910952. Its totient is φ = 107827200.

The previous prime is 359372029. The next prime is 359372053. The reversal of 359372052 is 250273953.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 351787536 = 2754^2 + 18756^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 359371998 and 359372016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359372053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171652 + ... + 173732.

Almost surely, 2^359372052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359372052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518455476).

359372052 is an abundant number, since it is smaller than the sum of its proper divisors (677538900).

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

359372052 is a wasteful number, since it uses less digits than its factorization.

359372052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 359372052 is about 18957.1108558240. The cubic root of 359372052 is about 710.9648009066.

The spelling of 359372052 in words is "three hundred fifty-nine million, three hundred seventy-two thousand, fifty-two".