479716020 has 288 divisors, whose sum is σ = 1761177600. Its totient is φ = 107339904.

The previous prime is 479716019. The next prime is 479716021. The reversal of 479716020 is 20617974.

It is a happy number.

479716020 is a `hidden beast` number, since 47 + 9 + 7 + 1 + 602 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (479716019) and next prime (479716021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479716021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2007061 + ... + 2007299.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^479716020 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 479716020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

479716020 is an abundant number, since it is smaller than the sum of its proper divisors (1281461580).

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

479716020 is a wasteful number, since it uses less digits than its factorization.

479716020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 479716020 is about 21902.4204141917. The cubic root of 479716020 is about 782.8190888685.

The spelling of 479716020 in words is "four hundred seventy-nine million, seven hundred sixteen thousand, twenty".