352550400 has 120 divisors (see below), whose sum is σ = 1164755064. Its totient is φ = 94003200.

The previous prime is 352550389. The next prime is 352550423. The reversal of 352550400 is 4055253.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 33810 + ... + 42990.

Almost surely, 2^352550400 is an apocalyptic number.

352550400 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 352550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582377532).

352550400 is an abundant number, since it is smaller than the sum of its proper divisors (812204664).

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

352550400 is an equidigital number, since it uses as much as digits as its factorization.

352550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 352550400 is about 18776.3255191211. The cubic root of 352550400 is about 706.4374874882.

The spelling of 352550400 in words is "three hundred fifty-two million, five hundred fifty thousand, four hundred".