332296320 has 128 divisors (see below), whose sum is σ = 1115064000. Its totient is φ = 83939328.

The previous prime is 332296313. The next prime is 332296333. The reversal of 332296320 is 23692233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×332296320² = 220841688571084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31926 + ... + 41034.

Almost surely, 2^332296320 is an apocalyptic number.

332296320 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 332296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557532000).

332296320 is an abundant number, since it is smaller than the sum of its proper divisors (782767680).

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

332296320 is a wasteful number, since it uses less digits than its factorization.

332296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 332296320 is about 18228.9966811122. The cubic root of 332296320 is about 692.6415025345.

The spelling of 332296320 in words is "three hundred thirty-two million, two hundred ninety-six thousand, three hundred twenty".