476767368 has 192 divisors, whose sum is σ = 1680307200. Its totient is φ = 118419840.

The previous prime is 476767349. The next prime is 476767387. The reversal of 476767368 is 863767674.

It is an interprime number because it is at equal distance from previous prime (476767349) and next prime (476767387).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125643 + ... + 129381.

It is an arithmetic number, because the mean of its divisors is an integer number (8751600).

Almost surely, 2^476767368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476767368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840153600).

476767368 is an abundant number, since it is smaller than the sum of its proper divisors (1203539832).

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

476767368 is a wasteful number, since it uses less digits than its factorization.

476767368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 476767368 is about 21835.0032745589. The cubic root of 476767368 is about 781.2118833841.

The spelling of 476767368 in words is "four hundred seventy-six million, seven hundred sixty-seven thousand, three hundred sixty-eight".