332983872 has 252 divisors, whose sum is σ = 1084832476. Its totient is φ = 100776960.

The previous prime is 332983867. The next prime is 332983891. The reversal of 332983872 is 278389233.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 306110016 = 5184^2 + 17496^2 .

It is a super-2 number, since 2×332983872² = 221756518024224768, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5458722 + ... + 5458782.

Almost surely, 2^332983872 is an apocalyptic number.

332983872 is a gapful number since it is divisible by the number (32) 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 332983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542416238).

332983872 is an abundant number, since it is smaller than the sum of its proper divisors (751848604).

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

332983872 is an frugal number, since it uses more digits than its factorization.

332983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 332983872 is about 18247.8456810660. The cubic root of 332983872 is about 693.1188866704.

The spelling of 332983872 in words is "three hundred thirty-two million, nine hundred eighty-three thousand, eight hundred seventy-two".