352283256 has 320 divisors, whose sum is σ = 1170892800. Its totient is φ = 97977600.

The previous prime is 352283227. The next prime is 352283293. The reversal of 352283256 is 652382253.

352283256 is a `hidden beast` number, since 3 + 522 + 83 + 2 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 352283256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4961701 + ... + 4961771.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^352283256 is an apocalyptic number.

352283256 is a gapful number since it is divisible by the number (36) 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 352283256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

352283256 is an abundant number, since it is smaller than the sum of its proper divisors (818609544).

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

352283256 is a wasteful number, since it uses less digits than its factorization.

352283256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 352283256 is about 18769.2103190305. The cubic root of 352283256 is about 706.2590087764.

The spelling of 352283256 in words is "three hundred fifty-two million, two hundred eighty-three thousand, two hundred fifty-six".