478973880 has 384 divisors, whose sum is σ = 1997498880. Its totient is φ = 96629760.

The previous prime is 478973867. The next prime is 478973903. The reversal of 478973880 is 88379874.

478973880 is a `hidden beast` number, since 478 + 97 + 3 + 8 + 80 = 666.

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, 1025407 + ... + 1025873.

It is an arithmetic number, because the mean of its divisors is an integer number (5201820).

Almost surely, 2^478973880 is an apocalyptic number.

478973880 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 478973880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998749440).

478973880 is an abundant number, since it is smaller than the sum of its proper divisors (1518525000).

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

478973880 is a wasteful number, since it uses less digits than its factorization.

478973880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 478973880 is about 21885.4718934731. The cubic root of 478973880 is about 782.4151962999.

The spelling of 478973880 in words is "four hundred seventy-eight million, nine hundred seventy-three thousand, eight hundred eighty".