482123664 has 120 divisors (see below), whose sum is σ = 1526589792. Its totient is φ = 146085120.

The previous prime is 482123647. The next prime is 482123683. The reversal of 482123664 is 466321284.

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

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 23 ways as a sum of consecutive naturals, for example, 37132 + ... + 48404.

Almost surely, 2^482123664 is an apocalyptic number.

482123664 is a gapful number since it is divisible by the number (44) 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 482123664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763294896).

482123664 is an abundant number, since it is smaller than the sum of its proper divisors (1044466128).

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

482123664 is a wasteful number, since it uses less digits than its factorization.

482123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11289 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 482123664 is about 21957.3145899037. The cubic root of 482123664 is about 784.1265327496.

The spelling of 482123664 in words is "four hundred eighty-two million, one hundred twenty-three thousand, six hundred sixty-four".