486004179600 has 315 divisors, whose sum is σ = 1751993803929. Its totient is φ = 129500726400.

The previous prime is 486004179553. The next prime is 486004179629. The reversal of 486004179600 is 6971400684.

The square root of 486004179600 is 697140.

It is a perfect power (a square), and thus also a powerful number.

486004179600 is a `hidden beast` number, since 486 + 0 + 0 + 41 + 79 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 174961504656 + 311042674944 = 418284^2 + 557712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 376454955 + ... + 376456245.

Almost surely, 2^486004179600 is an apocalyptic number.

486004179600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

486004179600 is the 697140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486004179600

486004179600 is an abundant number, since it is smaller than the sum of its proper divisors (1265989624329).

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

486004179600 is an frugal number, since it uses more digits than its factorization.

486004179600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 486004179600 in words is "four hundred eighty-six billion, four million, one hundred seventy-nine thousand, six hundred".