321377472 has 168 divisors, whose sum is σ = 1001853216. Its totient is φ = 97910784.

The previous prime is 321377467. The next prime is 321377473. The reversal of 321377472 is 274773123.

It is a happy number.

It is a super-2 number, since 2×321377472² = 206566959018221568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (321377473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250368 + ... + 1250624.

It is an arithmetic number, because the mean of its divisors is an integer number (5963412).

Almost surely, 2^321377472 is an apocalyptic number.

321377472 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 321377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500926608).

321377472 is an abundant number, since it is smaller than the sum of its proper divisors (680475744).

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

321377472 is a wasteful number, since it uses less digits than its factorization.

321377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 321377472 is about 17927.0039883969. The cubic root of 321377472 is about 684.9704087951.

The spelling of 321377472 in words is "three hundred twenty-one million, three hundred seventy-seven thousand, four hundred seventy-two".