332385840 has 120 divisors (see below), whose sum is σ = 1122571008. Its totient is φ = 88135680.

The previous prime is 332385839. The next prime is 332385847. The reversal of 332385840 is 48583233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×332385840² = 220960693265011200, 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 = 332385795 and 332385804.

It is not an unprimeable number, because it can be changed into a prime (332385847) 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, 136312 + ... + 138728.

Almost surely, 2^332385840 is an apocalyptic number.

332385840 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 332385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561285504).

332385840 is an abundant number, since it is smaller than the sum of its proper divisors (790185168).

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

332385840 is a wasteful number, since it uses less digits than its factorization.

332385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 332385840 is about 18231.4519443735. The cubic root of 332385840 is about 692.7036957201.

The spelling of 332385840 in words is "three hundred thirty-two million, three hundred eighty-five thousand, eight hundred forty".