476727680 has 128 divisors (see below), whose sum is σ = 1339178400. Its totient is φ = 159989760.

The previous prime is 476727679. The next prime is 476727683. The reversal of 476727680 is 86727674.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476727683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88916 + ... + 94124.

Almost surely, 2^476727680 is an apocalyptic number.

476727680 is a gapful number since it is divisible by the number (40) 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 476727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669589200).

476727680 is an abundant number, since it is smaller than the sum of its proper divisors (862450720).

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

476727680 is a wasteful number, since it uses less digits than its factorization.

476727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 47.

The square root of 476727680 is about 21834.0944396602. The cubic root of 476727680 is about 781.1902057277.

The spelling of 476727680 in words is "four hundred seventy-six million, seven hundred twenty-seven thousand, six hundred eighty".