331645440 has 320 divisors, whose sum is σ = 1257062400. Its totient is φ = 72990720.

The previous prime is 331645439. The next prime is 331645481. The reversal of 331645440 is 44546133.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 331645398 and 331645407.

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, 1666461 + ... + 1666659.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2^331645440 is an apocalyptic number.

331645440 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 331645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628531200).

331645440 is an abundant number, since it is smaller than the sum of its proper divisors (925416960).

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

331645440 is a wasteful number, since it uses less digits than its factorization.

331645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 331645440 is about 18211.1350552348. The cubic root of 331645440 is about 692.1889735271.

The spelling of 331645440 in words is "three hundred thirty-one million, six hundred forty-five thousand, four hundred forty".