479349964800 has 1368 divisors, whose sum is σ = 2082451186816. Its totient is φ = 107017666560.

The previous prime is 479349964783. The next prime is 479349964811. The reversal of 479349964800 is 8469943974.

479349964800 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 499 + 64 + 80 + 0 = 666.

It is a super-2 number, since 2×479349964800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11147673579 + ... + 11147673621.

Almost surely, 2^479349964800 is an apocalyptic number.

479349964800 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 479349964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041225593408).

479349964800 is an abundant number, since it is smaller than the sum of its proper divisors (1603101222016).

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

479349964800 is an frugal number, since it uses more digits than its factorization.

479349964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 479349964800 in words is "four hundred seventy-nine billion, three hundred forty-nine million, nine hundred sixty-four thousand, eight hundred".