352465808 has 80 divisors (see below), whose sum is σ = 742660800. Its totient is φ = 161533440.

The previous prime is 352465783. The next prime is 352465819. The reversal of 352465808 is 808564253.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539038 + ... + 1539266.

It is an arithmetic number, because the mean of its divisors is an integer number (9283260).

Almost surely, 2^352465808 is an apocalyptic number.

352465808 is a gapful number since it is divisible by the number (38) 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 352465808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371330400).

352465808 is an abundant number, since it is smaller than the sum of its proper divisors (390194992).

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

352465808 is a wasteful number, since it uses less digits than its factorization.

352465808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 352465808 is about 18774.0727600593. The cubic root of 352465808 is about 706.3809813923.

The spelling of 352465808 in words is "three hundred fifty-two million, four hundred sixty-five thousand, eight hundred eight".