331476432 has 160 divisors (see below), whose sum is σ = 1040409600. Its totient is φ = 88833024.

The previous prime is 331476419. The next prime is 331476433. The reversal of 331476432 is 234674133.

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

It is a junction number, because it is equal to n+sod(n) for n = 331476393 and 331476402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331476433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874419 + ... + 874797.

It is an arithmetic number, because the mean of its divisors is an integer number (6502560).

Almost surely, 2^331476432 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 331476432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520204800).

331476432 is an abundant number, since it is smaller than the sum of its proper divisors (708933168).

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

331476432 is a wasteful number, since it uses less digits than its factorization.

331476432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 331476432 is about 18206.4942259623. The cubic root of 331476432 is about 692.0713726823.

The spelling of 331476432 in words is "three hundred thirty-one million, four hundred seventy-six thousand, four hundred thirty-two".