326472400 has 60 divisors (see below), whose sum is σ = 792213804. Its totient is φ = 129280000.

The previous prime is 326472379. The next prime is 326472407. The reversal of 326472400 is 4274623.

It can be written as a sum of positive squares in 6 ways, for example, as 1607824 + 324864576 = 1268^2 + 18024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326472407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36360 + ... + 44440.

Almost surely, 2^326472400 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 326472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396106902).

326472400 is an abundant number, since it is smaller than the sum of its proper divisors (465741404).

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

326472400 is a wasteful number, since it uses less digits than its factorization.

326472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8200 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 326472400 is about 18068.5472575966. The cubic root of 326472400 is about 688.5711522741.

The spelling of 326472400 in words is "three hundred twenty-six million, four hundred seventy-two thousand, four hundred".