332952480 has 576 divisors, whose sum is σ = 1443536640. Its totient is φ = 68124672.

The previous prime is 332952479. The next prime is 332952511. The reversal of 332952480 is 84259233.

332952480 is a `hidden beast` number, since 33 + 29 + 524 + 80 = 666.

It is a super-2 number, since 2×332952480² = 221714707876300800, 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 95 ways as a sum of consecutive naturals, for example, 4969407 + ... + 4969473.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^332952480 is an apocalyptic number.

332952480 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 332952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

332952480 is an abundant number, since it is smaller than the sum of its proper divisors (1110584160).

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

332952480 is a wasteful number, since it uses less digits than its factorization.

332952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

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

The square root of 332952480 is about 18246.9855044607. The cubic root of 332952480 is about 693.0971047627.

The spelling of 332952480 in words is "three hundred thirty-two million, nine hundred fifty-two thousand, four hundred eighty".