479387160 has 320 divisors, whose sum is σ = 1923609600. Its totient is φ = 104696064.

The previous prime is 479387149. The next prime is 479387171. The reversal of 479387160 is 61783974.

It is an interprime number because it is at equal distance from previous prime (479387149) and next prime (479387171).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521181 + ... + 522099.

It is an arithmetic number, because the mean of its divisors is an integer number (6011280).

Almost surely, 2^479387160 is an apocalyptic number.

479387160 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 479387160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961804800).

479387160 is an abundant number, since it is smaller than the sum of its proper divisors (1444222440).

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

479387160 is a wasteful number, since it uses less digits than its factorization.

479387160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 479387160 is about 21894.9117376618. The cubic root of 479387160 is about 782.6401658360.

The spelling of 479387160 in words is "four hundred seventy-nine million, three hundred eighty-seven thousand, one hundred sixty".