331952040 has 256 divisors, whose sum is σ = 1331712000. Its totient is φ = 71850240.

The previous prime is 331952003. The next prime is 331952041. The reversal of 331952040 is 40259133.

331952040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331952040² = 220384313720323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331951995 and 331952013.

It is not an unprimeable number, because it can be changed into a prime (331952041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142485 + ... + 144795.

It is an arithmetic number, because the mean of its divisors is an integer number (5202000).

Almost surely, 2^331952040 is an apocalyptic number.

331952040 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 331952040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665856000).

331952040 is an abundant number, since it is smaller than the sum of its proper divisors (999759960).

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

331952040 is a wasteful number, since it uses less digits than its factorization.

331952040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 331952040 is about 18219.5510372786. The cubic root of 331952040 is about 692.4022130774.

The spelling of 331952040 in words is "three hundred thirty-one million, nine hundred fifty-two thousand, forty".