331371264 has 144 divisors (see below), whose sum is σ = 1027821312. Its totient is φ = 92811264.

The previous prime is 331371251. The next prime is 331371277. The reversal of 331371264 is 462173133.

It is an interprime number because it is at equal distance from previous prime (331371251) and next prime (331371277).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284347 + ... + 285509.

It is an arithmetic number, because the mean of its divisors is an integer number (7137648).

Almost surely, 2^331371264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513910656).

331371264 is an abundant number, since it is smaller than the sum of its proper divisors (696450048).

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

331371264 is a wasteful number, since it uses less digits than its factorization.

331371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1228 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 331371264 is about 18203.6057966547. The cubic root of 331371264 is about 691.9981734501.

The spelling of 331371264 in words is "three hundred thirty-one million, three hundred seventy-one thousand, two hundred sixty-four".