352413900 has 216 divisors, whose sum is σ = 1196329680. Its totient is φ = 86469120.

The previous prime is 352413883. The next prime is 352413911. The reversal of 352413900 is 9314253.

352413900 is a `hidden beast` number, since 3 + 524 + 139 + 0 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 632422 + ... + 632978.

Almost surely, 2^352413900 is an apocalyptic number.

352413900 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 352413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598164840).

352413900 is an abundant number, since it is smaller than the sum of its proper divisors (843915780).

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

352413900 is a wasteful number, since it uses less digits than its factorization.

352413900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 352413900 is about 18772.6902707097. The cubic root of 352413900 is about 706.3463032067.

It can be divided in two parts, 3524 and 13900, that added together give a square (17424 = 132²).

The spelling of 352413900 in words is "three hundred fifty-two million, four hundred thirteen thousand, nine hundred".