478938096 has 400 divisors, whose sum is σ = 1774553088. Its totient is φ = 121305600.

The previous prime is 478938071. The next prime is 478938143. The reversal of 478938096 is 690839874.

478938096 is a `hidden beast` number, since 478 + 9 + 3 + 80 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3655951 + ... + 3656081.

Almost surely, 2^478938096 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 478938096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887276544).

478938096 is an abundant number, since it is smaller than the sum of its proper divisors (1295614992).

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

478938096 is a wasteful number, since it uses less digits than its factorization.

478938096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 478938096 is about 21884.6543495665. The cubic root of 478938096 is about 782.3957111436.

The spelling of 478938096 in words is "four hundred seventy-eight million, nine hundred thirty-eight thousand, ninety-six".