478487904 has 96 divisors (see below), whose sum is σ = 1290854880. Its totient is φ = 155136000.

The previous prime is 478487903. The next prime is 478487921. The reversal of 478487904 is 409784874.

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 (478487903) 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, 591052 + ... + 591860.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^478487904 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 478487904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645427440).

478487904 is an abundant number, since it is smaller than the sum of its proper divisors (812366976).

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

478487904 is a wasteful number, since it uses less digits than its factorization.

478487904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 478487904 is about 21874.3663679660. The cubic root of 478487904 is about 782.1504889788.

The spelling of 478487904 in words is "four hundred seventy-eight million, four hundred eighty-seven thousand, nine hundred four".