478988820 has 72 divisors (see below), whose sum is σ = 1458221856. Its totient is φ = 127265472.

The previous prime is 478988801. The next prime is 478988849. The reversal of 478988820 is 28889874.

478988820 is a `hidden beast` number, since 478 + 98 + 8 + 82 + 0 = 666.

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, 46239 + ... + 55641.

Almost surely, 2^478988820 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 478988820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729110928).

478988820 is an abundant number, since it is smaller than the sum of its proper divisors (979233036).

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

478988820 is a wasteful number, since it uses less digits than its factorization.

478988820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 478988820 is about 21885.8132131296. The cubic root of 478988820 is about 782.4233311634.

The spelling of 478988820 in words is "four hundred seventy-eight million, nine hundred eighty-eight thousand, eight hundred twenty".