352971520 has 216 divisors, whose sum is σ = 968880528. Its totient is φ = 123002880.

The previous prime is 352971517. The next prime is 352971529. The reversal of 352971520 is 25179253.

It is a super-2 number, since 2×352971520² = 249177787862220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352971529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6659814 + ... + 6659866.

It is an arithmetic number, because the mean of its divisors is an integer number (4485558).

Almost surely, 2^352971520 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 352971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484440264).

352971520 is an abundant number, since it is smaller than the sum of its proper divisors (615909008).

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

352971520 is a wasteful number, since it uses less digits than its factorization.

352971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 352971520 is about 18787.5362940435. The cubic root of 352971520 is about 706.7186544562.

The spelling of 352971520 in words is "three hundred fifty-two million, nine hundred seventy-one thousand, five hundred twenty".