332916480 has 540 divisors, whose sum is σ = 1357808760. Its totient is φ = 77635584.

The previous prime is 332916431. The next prime is 332916487. The reversal of 332916480 is 84619233.

332916480 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×332916480² = 221666765311180800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332916487) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521911 + ... + 17521929.

Almost surely, 2^332916480 is an apocalyptic number.

332916480 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 332916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678904380).

332916480 is an abundant number, since it is smaller than the sum of its proper divisors (1024892280).

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

332916480 is a wasteful number, since it uses less digits than its factorization.

332916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 332916480 is about 18245.9990134824. Note that the first 3 decimals coincide. The cubic root of 332916480 is about 693.0721238253.

Adding to 332916480 its sum of digits (36), we get a square (332916516 = 18246²).

The spelling of 332916480 in words is "three hundred thirty-two million, nine hundred sixteen thousand, four hundred eighty".