321725952 has 240 divisors, whose sum is σ = 1036339920. Its totient is φ = 98205696.

The previous prime is 321725947. The next prime is 321725981. The reversal of 321725952 is 259527123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8695278 + ... + 8695314.

It is an arithmetic number, because the mean of its divisors is an integer number (4318083).

Almost surely, 2^321725952 is an apocalyptic number.

321725952 is a gapful number since it is divisible by the number (32) 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 321725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518169960).

321725952 is an abundant number, since it is smaller than the sum of its proper divisors (714613968).

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

321725952 is an equidigital number, since it uses as much as digits as its factorization.

321725952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 321725952 is about 17936.7207705311. The cubic root of 321725952 is about 685.2178978950.

The spelling of 321725952 in words is "three hundred twenty-one million, seven hundred twenty-five thousand, nine hundred fifty-two".