479964458880 has 1024 divisors, whose sum is σ = 1828174233600. Its totient is φ = 118792396800.

The previous prime is 479964458879. The next prime is 479964458887. The reversal of 479964458880 is 88854469974.

479964458880 is a `hidden beast` number, since 4 + 7 + 9 + 96 + 4 + 458 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 479964458799 and 479964458808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479964458887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1543293925 + ... + 1543294235.

It is an arithmetic number, because the mean of its divisors is an integer number (1785326400).

Almost surely, 2^479964458880 is an apocalyptic number.

479964458880 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 479964458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914087116800).

479964458880 is an abundant number, since it is smaller than the sum of its proper divisors (1348209774720).

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

479964458880 is a wasteful number, since it uses less digits than its factorization.

479964458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 479964458880 in words is "four hundred seventy-nine billion, nine hundred sixty-four million, four hundred fifty-eight thousand, eight hundred eighty".