476023968 has 144 divisors (see below), whose sum is σ = 1553610240. Its totient is φ = 135433728.

The previous prime is 476023949. The next prime is 476023979. The reversal of 476023968 is 869320674.

476023968 is a `hidden beast` number, since 4 + 7 + 602 + 39 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×476023968² = 453197636220930048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783921 + ... + 784527.

It is an arithmetic number, because the mean of its divisors is an integer number (10788960).

Almost surely, 2^476023968 is an apocalyptic number.

476023968 is a gapful number since it is divisible by the number (48) 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 476023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

476023968 is an abundant number, since it is smaller than the sum of its proper divisors (1077586272).

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

476023968 is a wasteful number, since it uses less digits than its factorization.

476023968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 476023968 is about 21817.9735080965. The cubic root of 476023968 is about 780.8056370248.

The spelling of 476023968 in words is "four hundred seventy-six million, twenty-three thousand, nine hundred sixty-eight".