326300400 has 240 divisors, whose sum is σ = 1178877920. Its totient is φ = 86780160.

The previous prime is 326300399. The next prime is 326300413. The reversal of 326300400 is 4003623.

326300400 is a `hidden beast` number, since 3 + 263 + 0 + 0 + 400 = 666.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874614 + ... + 874986.

Almost surely, 2^326300400 is an apocalyptic number.

326300400 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 326300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589438960).

326300400 is an abundant number, since it is smaller than the sum of its proper divisors (852577520).

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

326300400 is an equidigital number, since it uses as much as digits as its factorization.

326300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 326300400 is about 18063.7869783719. The cubic root of 326300400 is about 688.4502078563.

The spelling of 326300400 in words is "three hundred twenty-six million, three hundred thousand, four hundred".