481932864 has 336 divisors, whose sum is σ = 1711756800. Its totient is φ = 126517248.

The previous prime is 481932859. The next prime is 481932923. The reversal of 481932864 is 468239184.

It is a happy number.

481932864 is a `hidden beast` number, since 481 + 93 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5414932 + ... + 5415020.

Almost surely, 2^481932864 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 481932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855878400).

481932864 is an abundant number, since it is smaller than the sum of its proper divisors (1229823936).

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

481932864 is a wasteful number, since it uses less digits than its factorization.

481932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 481932864 is about 21952.9693663522. The cubic root of 481932864 is about 784.0230799814.

The spelling of 481932864 in words is "four hundred eighty-one million, nine hundred thirty-two thousand, eight hundred sixty-four".