478584000 has 504 divisors, whose sum is σ = 1897672608. Its totient is φ = 114892800.

The previous prime is 478583999. The next prime is 478584019. The reversal of 478584000 is 485874.

478584000 is a `hidden beast` number, since 4 + 78 + 584 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20807989 + ... + 20808011.

Almost surely, 2^478584000 is an apocalyptic number.

478584000 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 478584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948836304).

478584000 is an abundant number, since it is smaller than the sum of its proper divisors (1419088608).

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

478584000 is a wasteful number, since it uses less digits than its factorization.

478584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 478584000 is about 21876.5628013178. The cubic root of 478584000 is about 782.2028459292.

The spelling of 478584000 in words is "four hundred seventy-eight million, five hundred eighty-four thousand".