321257472 has 144 divisors (see below), whose sum is σ = 922743360. Its totient is φ = 99090432.

The previous prime is 321257471. The next prime is 321257507. The reversal of 321257472 is 274752123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321257471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7471083 + ... + 7471125.

It is an arithmetic number, because the mean of its divisors is an integer number (6407940).

Almost surely, 2^321257472 is an apocalyptic number.

321257472 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 321257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461371680).

321257472 is an abundant number, since it is smaller than the sum of its proper divisors (601485888).

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

321257472 is an frugal number, since it uses more digits than its factorization.

321257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 321257472 is about 17923.6567697554. The cubic root of 321257472 is about 684.8851438664.

The spelling of 321257472 in words is "three hundred twenty-one million, two hundred fifty-seven thousand, four hundred seventy-two".