331475760 has 320 divisors, whose sum is σ = 1424194560. Its totient is φ = 68843520.

The previous prime is 331475731. The next prime is 331475761. The reversal of 331475760 is 67574133.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331475761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165324 + ... + 167316.

It is an arithmetic number, because the mean of its divisors is an integer number (4450608).

Almost surely, 2^331475760 is an apocalyptic number.

331475760 is a gapful number since it is divisible by the number (30) 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 331475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712097280).

331475760 is an abundant number, since it is smaller than the sum of its proper divisors (1092718800).

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

331475760 is a wasteful number, since it uses less digits than its factorization.

331475760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 331475760 is about 18206.4757709997. The cubic root of 331475760 is about 692.0709050047.

The spelling of 331475760 in words is "three hundred thirty-one million, four hundred seventy-five thousand, seven hundred sixty".