331440480 has 288 divisors, whose sum is σ = 1307674368. Its totient is φ = 74880000.

The previous prime is 331440469. The next prime is 331440509. The reversal of 331440480 is 84044133.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320355 + ... + 1320605.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^331440480 is an apocalyptic number.

331440480 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 331440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653837184).

331440480 is an abundant number, since it is smaller than the sum of its proper divisors (976233888).

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

331440480 is a wasteful number, since it uses less digits than its factorization.

331440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 331440480 is about 18205.5068591896. The cubic root of 331440480 is about 692.0463510445.

The spelling of 331440480 in words is "three hundred thirty-one million, four hundred forty thousand, four hundred eighty".