479905347600 has 720 divisors, whose sum is σ = 1970184078720. Its totient is φ = 105886310400.

The previous prime is 479905347577. The next prime is 479905347611. The reversal of 479905347600 is 6743509974.

It is a happy number.

479905347600 is a `hidden beast` number, since 47 + 9 + 9 + 0 + 534 + 7 + 60 + 0 = 666.

479905347600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122142436 + ... + 122146364.

It is an arithmetic number, because the mean of its divisors is an integer number (2736366776).

Almost surely, 2^479905347600 is an apocalyptic number.

479905347600 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 479905347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985092039360).

479905347600 is an abundant number, since it is smaller than the sum of its proper divisors (1490278731120).

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

479905347600 is a wasteful number, since it uses less digits than its factorization.

479905347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 479905347600 in words is "four hundred seventy-nine billion, nine hundred five million, three hundred forty-seven thousand, six hundred".