358400052 has 120 divisors (see below), whose sum is σ = 1024531200. Its totient is φ = 108760320.

The previous prime is 358400047. The next prime is 358400123. The reversal of 358400052 is 250004853.

358400052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×358400052⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 358399989 and 358400025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169699 + ... + 171797.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2^358400052 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 358400052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

358400052 is an abundant number, since it is smaller than the sum of its proper divisors (666131148).

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

358400052 is a wasteful number, since it uses less digits than its factorization.

358400052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 358400052 is about 18931.4566792944. The cubic root of 358400052 is about 710.3232357475.

The spelling of 358400052 in words is "three hundred fifty-eight million, four hundred thousand, fifty-two".