331980480 has 168 divisors, whose sum is σ = 1229849712. Its totient is φ = 81709056.

The previous prime is 331980461. The next prime is 331980491. The reversal of 331980480 is 84089133.

It is a super-2 number, since 2×331980480² = 220422078202060800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33007 + ... + 41873.

It is an arithmetic number, because the mean of its divisors is an integer number (7320534).

Almost surely, 2^331980480 is an apocalyptic number.

331980480 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 331980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614924856).

331980480 is an abundant number, since it is smaller than the sum of its proper divisors (897869232).

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

331980480 is a wasteful number, since it uses less digits than its factorization.

331980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8903 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 331980480 is about 18220.3315008262. The cubic root of 331980480 is about 692.4219863722.

The spelling of 331980480 in words is "three hundred thirty-one million, nine hundred eighty thousand, four hundred eighty".