478596000 has 96 divisors (see below), whose sum is σ = 1567919808. Its totient is φ = 127622400.

The previous prime is 478595981. The next prime is 478596017. The reversal of 478596000 is 695874.

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

It is a self number, because there is not a number n which added to its sum of digits gives 478596000.

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 15 ways as a sum of consecutive naturals, for example, 7942 + ... + 31941.

It is an arithmetic number, because the mean of its divisors is an integer number (16332498).

Almost surely, 2^478596000 is an apocalyptic number.

478596000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478596000 is an abundant number, since it is smaller than the sum of its proper divisors (1089323808).

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

478596000 is a wasteful number, since it uses less digits than its factorization.

478596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39911 (or 39893 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 478596000 is about 21876.8370657186. The cubic root of 478596000 is about 782.2093835177.

The spelling of 478596000 in words is "four hundred seventy-eight million, five hundred ninety-six thousand".