479973816 has 192 divisors, whose sum is σ = 1569780000. Its totient is φ = 135475200.

The previous prime is 479973799. The next prime is 479973817. The reversal of 479973816 is 618379974.

It is a happy number.

479973816 is a `hidden beast` number, since 479 + 97 + 3 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479973817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068760 + ... + 1069208.

Almost surely, 2^479973816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479973816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784890000).

479973816 is an abundant number, since it is smaller than the sum of its proper divisors (1089806184).

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

479973816 is a wasteful number, since it uses less digits than its factorization.

479973816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 479973816 is about 21908.3047267469. The cubic root of 479973816 is about 782.9592909062.

The spelling of 479973816 in words is "four hundred seventy-nine million, nine hundred seventy-three thousand, eight hundred sixteen".