476498880 has 504 divisors, whose sum is σ = 1957821840. Its totient is φ = 105431040.

The previous prime is 476498879. The next prime is 476498881. The reversal of 476498880 is 88894674.

476498880 is a `hidden beast` number, since 4 + 76 + 498 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (476498879) and next prime (476498881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476498881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5353876 + ... + 5353964.

Almost surely, 2^476498880 is an apocalyptic number.

476498880 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 476498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978910920).

476498880 is an abundant number, since it is smaller than the sum of its proper divisors (1481322960).

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

476498880 is a wasteful number, since it uses less digits than its factorization.

476498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 476498880 is about 21828.8542988403. The cubic root of 476498880 is about 781.0652112928.

The spelling of 476498880 in words is "four hundred seventy-six million, four hundred ninety-eight thousand, eight hundred eighty".