352051920 has 300 divisors, whose sum is σ = 1346984100. Its totient is φ = 85155840.

The previous prime is 352051907. The next prime is 352051939. The reversal of 352051920 is 29150253.

352051920 is a `hidden beast` number, since 3 + 520 + 51 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170772624 + 181279296 = 13068^2 + 13464^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 783856 + ... + 784304.

It is an arithmetic number, because the mean of its divisors is an integer number (4489947).

Almost surely, 2^352051920 is an apocalyptic number.

352051920 is a gapful number since it is divisible by the number (30) 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 352051920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673492050).

352051920 is an abundant number, since it is smaller than the sum of its proper divisors (994932180).

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

352051920 is a wasteful number, since it uses less digits than its factorization.

352051920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 352051920 is about 18763.0466609237. The cubic root of 352051920 is about 706.1043804505.

The spelling of 352051920 in words is "three hundred fifty-two million, fifty-one thousand, nine hundred twenty".