331824480 has 192 divisors, whose sum is σ = 1153994688. Its totient is φ = 79626240.

The previous prime is 331824469. The next prime is 331824511. The reversal of 331824480 is 84428133.

It is a super-2 number, since 2×331824480² = 220214971054540800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255192 + ... + 256488.

It is an arithmetic number, because the mean of its divisors is an integer number (6010389).

Almost surely, 2^331824480 is an apocalyptic number.

331824480 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 331824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576997344).

331824480 is an abundant number, since it is smaller than the sum of its proper divisors (822170208).

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

331824480 is a wasteful number, since it uses less digits than its factorization.

331824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 331824480 is about 18216.0500658074. The cubic root of 331824480 is about 692.3135113661.

The spelling of 331824480 in words is "three hundred thirty-one million, eight hundred twenty-four thousand, four hundred eighty".