352916400 has 240 divisors, whose sum is σ = 1195637760. Its totient is φ = 88857600.

The previous prime is 352916381. The next prime is 352916527. The reversal of 352916400 is 4619253.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1971511 + ... + 1971689.

It is an arithmetic number, because the mean of its divisors is an integer number (4981824).

Almost surely, 2^352916400 is an apocalyptic number.

352916400 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 352916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597818880).

352916400 is an abundant number, since it is smaller than the sum of its proper divisors (842721360).

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

352916400 is a wasteful number, since it uses less digits than its factorization.

352916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 352916400 is about 18786.0693068028. The cubic root of 352916400 is about 706.6818655012.

The spelling of 352916400 in words is "three hundred fifty-two million, nine hundred sixteen thousand, four hundred".