356412400 has 60 divisors (see below), whose sum is σ = 860817672. Its totient is φ = 141809920.

The previous prime is 356412391. The next prime is 356412401. The reversal of 356412400 is 4214653.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356412401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76539 + ... + 81061.

Almost surely, 2^356412400 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 356412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430408836).

356412400 is an abundant number, since it is smaller than the sum of its proper divisors (504405272).

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

356412400 is a wasteful number, since it uses less digits than its factorization.

356412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 356412400 is about 18878.8876790980. The cubic root of 356412400 is about 709.0076727751.

The spelling of 356412400 in words is "three hundred fifty-six million, four hundred twelve thousand, four hundred".