478296000 has 672 divisors, whose sum is σ = 2134624128. Its totient is φ = 99532800.

The previous prime is 478295999. The next prime is 478296011. The reversal of 478296000 is 692874.

478296000 is a `hidden beast` number, since 47 + 8 + 2 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6551964 + ... + 6552036.

It is an arithmetic number, because the mean of its divisors is an integer number (3176524).

Almost surely, 2^478296000 is an apocalyptic number.

478296000 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 478296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067312064).

478296000 is an abundant number, since it is smaller than the sum of its proper divisors (1656328128).

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

478296000 is a wasteful number, since it uses less digits than its factorization.

478296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 478296000 is about 21869.9794238586. The cubic root of 478296000 is about 782.0459110108.

The spelling of 478296000 in words is "four hundred seventy-eight million, two hundred ninety-six thousand".