476892768 has 96 divisors (see below), whose sum is σ = 1382355072. Its totient is φ = 142745600.

The previous prime is 476892749. The next prime is 476892769. The reversal of 476892768 is 867298674.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476892769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84928 + ... + 90368.

It is an arithmetic number, because the mean of its divisors is an integer number (14399532).

Almost surely, 2^476892768 is an apocalyptic number.

476892768 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 476892768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691177536).

476892768 is an abundant number, since it is smaller than the sum of its proper divisors (905462304).

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

476892768 is a wasteful number, since it uses less digits than its factorization.

476892768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5540 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 476892768 is about 21837.8746218582. The cubic root of 476892768 is about 781.2803691832.

The spelling of 476892768 in words is "four hundred seventy-six million, eight hundred ninety-two thousand, seven hundred sixty-eight".