332972640 has 864 divisors, whose sum is σ = 1604746080. Its totient is φ = 63866880.

The previous prime is 332972623. The next prime is 332972669. The reversal of 332972640 is 46279233.

It is a happy number.

332972640 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×332972640² = 221741557977139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 332972595 and 332972604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25613274 + ... + 25613286.

It is an arithmetic number, because the mean of its divisors is an integer number (1857345).

Almost surely, 2^332972640 is an apocalyptic number.

332972640 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 332972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802373040).

332972640 is an abundant number, since it is smaller than the sum of its proper divisors (1271773440).

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

332972640 is a wasteful number, since it uses less digits than its factorization.

332972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 332972640 is about 18247.5379161135. The cubic root of 332972640 is about 693.1110933010. Note that the first 3 decimals are identical.

It can be divided in two parts, 33297 and 2640, that added together give a cube (35937 = 33³).

The spelling of 332972640 in words is "three hundred thirty-two million, nine hundred seventy-two thousand, six hundred forty".