352405296 has 160 divisors (see below), whose sum is σ = 1055408640. Its totient is φ = 112492800.

The previous prime is 352405271. The next prime is 352405307. The reversal of 352405296 is 692504253.

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 self number, because there is not a number n which added to its sum of digits gives 352405296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132981 + ... + 1133291.

It is an arithmetic number, because the mean of its divisors is an integer number (6596304).

Almost surely, 2^352405296 is an apocalyptic number.

352405296 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 352405296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527704320).

352405296 is an abundant number, since it is smaller than the sum of its proper divisors (703003344).

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

352405296 is a wasteful number, since it uses less digits than its factorization.

352405296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 352405296 is about 18772.4611066317. The cubic root of 352405296 is about 706.3405548021.

The spelling of 352405296 in words is "three hundred fifty-two million, four hundred five thousand, two hundred ninety-six".