331079040 has 192 divisors, whose sum is σ = 1152824400. Its totient is φ = 87552000.

The previous prime is 331079027. The next prime is 331079041. The reversal of 331079040 is 40970133.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×331079040² = 219226661454643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331078995 and 331079013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331079041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318915 + ... + 1319165.

Almost surely, 2^331079040 is an apocalyptic number.

331079040 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 331079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576412200).

331079040 is an abundant number, since it is smaller than the sum of its proper divisors (821745360).

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

331079040 is a wasteful number, since it uses less digits than its factorization.

331079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 331079040 is about 18195.5774846527. The cubic root of 331079040 is about 691.7946978038.

The spelling of 331079040 in words is "three hundred thirty-one million, seventy-nine thousand, forty".