326624400 has 300 divisors, whose sum is σ = 1243276452. Its totient is φ = 81838080.

The previous prime is 326624377. The next prime is 326624407. The reversal of 326624400 is 4426623.

326624400 is a `hidden beast` number, since 32 + 6 + 624 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 325297296 = 1152^2 + 18036^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (326624407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550504 + ... + 551096.

Almost surely, 2^326624400 is an apocalyptic number.

326624400 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 326624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621638226).

326624400 is an abundant number, since it is smaller than the sum of its proper divisors (916652052).

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

326624400 is a wasteful number, since it uses less digits than its factorization.

326624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 326624400 is about 18072.7529723615. The cubic root of 326624400 is about 688.6779980353.

The spelling of 326624400 in words is "three hundred twenty-six million, six hundred twenty-four thousand, four hundred".