321254400 has 264 divisors, whose sum is σ = 1096536960. Its totient is φ = 82903040.

The previous prime is 321254399. The next prime is 321254407. The reversal of 321254400 is 4452123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321254407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609556 + ... + 3609644.

Almost surely, 2^321254400 is an apocalyptic number.

321254400 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 321254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548268480).

321254400 is an abundant number, since it is smaller than the sum of its proper divisors (775282560).

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

321254400 is a wasteful number, since it uses less digits than its factorization.

321254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 321254400 is about 17923.5710727522. The cubic root of 321254400 is about 684.8829608055.

The spelling of 321254400 in words is "three hundred twenty-one million, two hundred fifty-four thousand, four hundred".