356198400 has 216 divisors, whose sum is σ = 1277320590. Its totient is φ = 94863360.

The previous prime is 356198389. The next prime is 356198413. The reversal of 356198400 is 4891653.

356198400 is a `hidden beast` number, since 3 + 561 + 98 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 172975104 + 183223296 = 13152^2 + 13536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460414 + ... + 461186.

Almost surely, 2^356198400 is an apocalyptic number.

356198400 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 356198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638660295).

356198400 is an abundant number, since it is smaller than the sum of its proper divisors (921122190).

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

356198400 is a wasteful number, since it uses less digits than its factorization.

356198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 356198400 is about 18873.2191212840. The cubic root of 356198400 is about 708.8657416682.

The spelling of 356198400 in words is "three hundred fifty-six million, one hundred ninety-eight thousand, four hundred".