479693760 has 672 divisors, whose sum is σ = 2096048640. Its totient is φ = 90243072.

The previous prime is 479693759. The next prime is 479693771. The reversal of 479693760 is 67396974.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×479693760² = 460212206765875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25247031 + ... + 25247049.

It is an arithmetic number, because the mean of its divisors is an integer number (3119120).

Almost surely, 2^479693760 is an apocalyptic number.

479693760 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 479693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048024320).

479693760 is an abundant number, since it is smaller than the sum of its proper divisors (1616354880).

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

479693760 is a wasteful number, since it uses less digits than its factorization.

479693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The square root of 479693760 is about 21901.9122452812. The cubic root of 479693760 is about 782.8069804392.

The spelling of 479693760 in words is "four hundred seventy-nine million, six hundred ninety-three thousand, seven hundred sixty".