478970496 has 256 divisors, whose sum is σ = 1505520000. Its totient is φ = 151538688.

The previous prime is 478970477. The next prime is 478970519. The reversal of 478970496 is 694079874.

It is a happy number.

478970496 is a `hidden beast` number, since 4 + 7 + 89 + 70 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8118115 + ... + 8118173.

Almost surely, 2^478970496 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 478970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752760000).

478970496 is an abundant number, since it is smaller than the sum of its proper divisors (1026549504).

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

478970496 is an frugal number, since it uses more digits than its factorization.

478970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 478970496 is about 21885.3945817753. The cubic root of 478970496 is about 782.4133536808.

The spelling of 478970496 in words is "four hundred seventy-eight million, nine hundred seventy thousand, four hundred ninety-six".