332971248 has 80 divisors (see below), whose sum is σ = 940225536. Its totient is φ = 101084160.

The previous prime is 332971241. The next prime is 332971259. The reversal of 332971248 is 842179233.

332971248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332971248² = 221739703989355008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332971241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18715 + ... + 31877.

Almost surely, 2^332971248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332971248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470112768).

332971248 is an abundant number, since it is smaller than the sum of its proper divisors (607254288).

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

332971248 is a wasteful number, since it uses less digits than its factorization.

332971248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13222 (or 13216 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 332971248 is about 18247.4997739416. The cubic root of 332971248 is about 693.1101274439.

The spelling of 332971248 in words is "three hundred thirty-two million, nine hundred seventy-one thousand, two hundred forty-eight".