476838720 has 84 divisors (see below), whose sum is σ = 1640136420. Its totient is φ = 127156224.

The previous prime is 476838709. The next prime is 476838749. The reversal of 476838720 is 27838674.

It is a happy number.

476838720 is a `hidden beast` number, since 476 + 83 + 87 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 399680064 = 8784^2 + 19992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79905 + ... + 85664.

Almost surely, 2^476838720 is an apocalyptic number.

476838720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476838720 is an abundant number, since it is smaller than the sum of its proper divisors (1163297700).

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

476838720 is a wasteful number, since it uses less digits than its factorization.

476838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165592 (or 165579 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 476838720 is about 21836.6371037301. The cubic root of 476838720 is about 781.2508529484.

The spelling of 476838720 in words is "four hundred seventy-six million, eight hundred thirty-eight thousand, seven hundred twenty".