332905248 has 192 divisors, whose sum is σ = 1059246720. Its totient is φ = 101108736.

The previous prime is 332905247. The next prime is 332905253. The reversal of 332905248 is 842509233.

It is a super-2 number, since 2×332905248² = 221651808291883008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (332905247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201686 + ... + 1201962.

It is an arithmetic number, because the mean of its divisors is an integer number (5516910).

Almost surely, 2^332905248 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 332905248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529623360).

332905248 is an abundant number, since it is smaller than the sum of its proper divisors (726341472).

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

332905248 is a wasteful number, since it uses less digits than its factorization.

332905248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 332905248 is about 18245.6912173806. The cubic root of 332905248 is about 693.0643294043.

The spelling of 332905248 in words is "three hundred thirty-two million, nine hundred five thousand, two hundred forty-eight".