479865600 has 216 divisors, whose sum is σ = 1760251920. Its totient is φ = 127918080.

The previous prime is 479865587. The next prime is 479865601. The reversal of 479865600 is 6568974.

479865600 is a `hidden beast` number, since 4 + 7 + 9 + 86 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (479865601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171412 + ... + 174188.

Almost surely, 2^479865600 is an apocalyptic number.

479865600 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 479865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880125960).

479865600 is an abundant number, since it is smaller than the sum of its proper divisors (1280386320).

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

479865600 is a wasteful number, since it uses less digits than its factorization.

479865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 479865600 is about 21905.8348391473. The cubic root of 479865600 is about 782.9004438828.

The spelling of 479865600 in words is "four hundred seventy-nine million, eight hundred sixty-five thousand, six hundred".