479903616000 has 1232 divisors, whose sum is σ = 1856838940320. Its totient is φ = 123619737600.

The previous prime is 479903615981. The next prime is 479903616019. The reversal of 479903616000 is 616309974.

479903616000 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 0 + 36 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (479903615981) and next prime (479903616019).

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 111 ways as a sum of consecutive naturals, for example, 3452543931 + ... + 3452544069.

Almost surely, 2^479903616000 is an apocalyptic number.

479903616000 is a gapful number since it is divisible by the number (40) 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 479903616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928419470160).

479903616000 is an abundant number, since it is smaller than the sum of its proper divisors (1376935324320).

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

479903616000 is an equidigital number, since it uses as much as digits as its factorization.

479903616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 479903616000 in words is "four hundred seventy-nine billion, nine hundred three million, six hundred sixteen thousand".