479892672 has 210 divisors, whose sum is σ = 1609308948. Its totient is φ = 136717056.

The previous prime is 479892661. The next prime is 479892691. The reversal of 479892672 is 276298974.

479892672 is a `hidden beast` number, since 479 + 89 + 26 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1382803 + ... + 1383149.

Almost surely, 2^479892672 is an apocalyptic number.

479892672 is a gapful number since it is divisible by the number (42) 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 479892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804654474).

479892672 is an abundant number, since it is smaller than the sum of its proper divisors (1129416276).

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

479892672 is an equidigital number, since it uses as much as digits as its factorization.

479892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 479892672 is about 21906.4527479919. The cubic root of 479892672 is about 782.9151662567.

The spelling of 479892672 in words is "four hundred seventy-nine million, eight hundred ninety-two thousand, six hundred seventy-two".