332414880 has 384 divisors, whose sum is σ = 1300561920. Its totient is φ = 69672960.

The previous prime is 332414869. The next prime is 332414881. The reversal of 332414880 is 88414233.

It is a super-2 number, since 2×332414880² = 220999304890828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332414881) 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, 2617377 + ... + 2617503.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^332414880 is an apocalyptic number.

332414880 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 332414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

332414880 is an abundant number, since it is smaller than the sum of its proper divisors (968147040).

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

332414880 is a wasteful number, since it uses less digits than its factorization.

332414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 332414880 is about 18232.2483528500. The cubic root of 332414880 is about 692.7238685906.

The spelling of 332414880 in words is "three hundred thirty-two million, four hundred fourteen thousand, eight hundred eighty".