332449920 has 480 divisors, whose sum is σ = 1329603660. Its totient is φ = 79073280.

The previous prime is 332449919. The next prime is 332449937. The reversal of 332449920 is 29944233.

It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 627264 = 18216^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×332449920² = 221045898616012800, 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272614 + ... + 6272666.

Almost surely, 2^332449920 is an apocalyptic number.

332449920 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 332449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664801830).

332449920 is an abundant number, since it is smaller than the sum of its proper divisors (997153740).

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

332449920 is a wasteful number, since it uses less digits than its factorization.

332449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 332449920 is about 18233.2092622226. The cubic root of 332449920 is about 692.7482078455.

The spelling of 332449920 in words is "three hundred thirty-two million, four hundred forty-nine thousand, nine hundred twenty".