332386560 has 432 divisors, whose sum is σ = 1304791488. Its totient is φ = 77414400.

The previous prime is 332386541. The next prime is 332386597. The reversal of 332386560 is 65683233.

It is a happy number.

It is a super-2 number, since 2×332386560² = 220961650537267200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448930 + ... + 5448990.

Almost surely, 2^332386560 is an apocalyptic number.

332386560 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 332386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652395744).

332386560 is an abundant number, since it is smaller than the sum of its proper divisors (972404928).

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

332386560 is a wasteful number, since it uses less digits than its factorization.

332386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 332386560 is about 18231.4716904588. The cubic root of 332386560 is about 692.7041958881.

The spelling of 332386560 in words is "three hundred thirty-two million, three hundred eighty-six thousand, five hundred sixty".