476038080 has 448 divisors, whose sum is σ = 2036551680. Its totient is φ = 102187008.

The previous prime is 476038067. The next prime is 476038081. The reversal of 476038080 is 80830674.

476038080 is a `hidden beast` number, since 47 + 603 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×476038080² = 453224507220172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476038081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027929 + ... + 1028391.

Almost surely, 2^476038080 is an apocalyptic number.

476038080 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 476038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018275840).

476038080 is an abundant number, since it is smaller than the sum of its proper divisors (1560513600).

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

476038080 is a wasteful number, since it uses less digits than its factorization.

476038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 476038080 is about 21818.2969087874. The cubic root of 476038080 is about 780.8133527570.

The spelling of 476038080 in words is "four hundred seventy-six million, thirty-eight thousand, eighty".