321172800 has 168 divisors, whose sum is σ = 1134989856. Its totient is φ = 79042560.

The previous prime is 321172783. The next prime is 321172807. The reversal of 321172800 is 8271123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321172807) 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, 59827 + ... + 64973.

It is an arithmetic number, because the mean of its divisors is an integer number (6755892).

Almost surely, 2^321172800 is an apocalyptic number.

321172800 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 321172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567494928).

321172800 is an abundant number, since it is smaller than the sum of its proper divisors (813817056).

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

321172800 is a wasteful number, since it uses less digits than its factorization.

321172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 321172800 is about 17921.2945960943. The cubic root of 321172800 is about 684.8249681553.

The spelling of 321172800 in words is "three hundred twenty-one million, one hundred seventy-two thousand, eight hundred".