477792820 has 48 divisors (see below), whose sum is σ = 1075249728. Its totient is φ = 177697280.

The previous prime is 477792817. The next prime is 477792839. The reversal of 477792820 is 28297774.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19755 + ... + 36685.

It is an arithmetic number, because the mean of its divisors is an integer number (22401036).

Almost surely, 2^477792820 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 477792820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537624864).

477792820 is an abundant number, since it is smaller than the sum of its proper divisors (597456908).

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

477792820 is a wasteful number, since it uses less digits than its factorization.

477792820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 477792820 is about 21858.4724992393. The cubic root of 477792820 is about 781.7715704794.

The spelling of 477792820 in words is "four hundred seventy-seven million, seven hundred ninety-two thousand, eight hundred twenty".