321412400 has 90 divisors (see below), whose sum is σ = 788269860. Its totient is φ = 125938560.

The previous prime is 321412393. The next prime is 321412411. The reversal of 321412400 is 4214123.

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, 1795511 + ... + 1795689.

It is an arithmetic number, because the mean of its divisors is an integer number (8758554).

Almost surely, 2^321412400 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 321412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394134930).

321412400 is an abundant number, since it is smaller than the sum of its proper divisors (466857460).

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

321412400 is a wasteful number, since it uses less digits than its factorization.

321412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 321412400 is about 17927.9781347479. The cubic root of 321412400 is about 684.9952225855.

Adding to 321412400 its reverse (4214123), we get a palindrome (325626523).

The spelling of 321412400 in words is "three hundred twenty-one million, four hundred twelve thousand, four hundred".