478010624 has 216 divisors, whose sum is σ = 1265056128. Its totient is φ = 175472640.

The previous prime is 478010609. The next prime is 478010639. The reversal of 478010624 is 426010874.

It is an interprime number because it is at equal distance from previous prime (478010609) and next prime (478010639).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6732509 + ... + 6732579.

Almost surely, 2^478010624 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 478010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632528064).

478010624 is an abundant number, since it is smaller than the sum of its proper divisors (787045504).

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

478010624 is a wasteful number, since it uses less digits than its factorization.

478010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 478010624 is about 21863.4540729501. The cubic root of 478010624 is about 781.8903437924.

The spelling of 478010624 in words is "four hundred seventy-eight million, ten thousand, six hundred twenty-four".