321350400 has 324 divisors, whose sum is σ = 1314676272. Its totient is φ = 73359360.

The previous prime is 321350399. The next prime is 321350413. The reversal of 321350400 is 4053123.

321350400 is a `hidden beast` number, since 3 + 213 + 50 + 400 = 666.

321350400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402802 + ... + 403598.

Almost surely, 2^321350400 is an apocalyptic number.

321350400 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 321350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657338136).

321350400 is an abundant number, since it is smaller than the sum of its proper divisors (993325872).

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

321350400 is a wasteful number, since it uses less digits than its factorization.

321350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 321350400 is about 17926.2489104665. The cubic root of 321350400 is about 684.9511748814.

The spelling of 321350400 in words is "three hundred twenty-one million, three hundred fifty thousand, four hundred".