352509952 has 56 divisors (see below), whose sum is σ = 724652856. Its totient is φ = 171343872.

The previous prime is 352509887. The next prime is 352510003. The reversal of 352509952 is 259905253.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302523 + ... + 303685.

Almost surely, 2^352509952 is an apocalyptic number.

352509952 is a gapful number since it is divisible by the number (32) 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 352509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362326428).

352509952 is an abundant number, since it is smaller than the sum of its proper divisors (372142904).

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

352509952 is an equidigital number, since it uses as much as digits as its factorization.

352509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 40.

The square root of 352509952 is about 18775.2483871719. The cubic root of 352509952 is about 706.4104700024.

The spelling of 352509952 in words is "three hundred fifty-two million, five hundred nine thousand, nine hundred fifty-two".