479666880 has 672 divisors, whose sum is σ = 2168225280. Its totient is φ = 98703360.

The previous prime is 479666857. The next prime is 479666881. The reversal of 479666880 is 88666974.

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

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

It is not an unprimeable number, because it can be changed into a prime (479666881) 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, 4656909 + ... + 4657011.

Almost surely, 2^479666880 is an apocalyptic number.

479666880 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 479666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084112640).

479666880 is an abundant number, since it is smaller than the sum of its proper divisors (1688558400).

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

479666880 is a wasteful number, since it uses less digits than its factorization.

479666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 479666880 is about 21901.2985916361. The cubic root of 479666880 is about 782.7923584405.

The spelling of 479666880 in words is "four hundred seventy-nine million, six hundred sixty-six thousand, eight hundred eighty".