476772480 has 320 divisors, whose sum is σ = 1806128280. Its totient is φ = 119439360.

The previous prime is 476772427. The next prime is 476772493. The reversal of 476772480 is 84277674.

476772480 is a `hidden beast` number, since 47 + 67 + 72 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 415181376 + 61591104 = 20376^2 + 7848^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881010 + ... + 881550.

Almost surely, 2^476772480 is an apocalyptic number.

476772480 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 476772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903064140).

476772480 is an abundant number, since it is smaller than the sum of its proper divisors (1329355800).

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

476772480 is a wasteful number, since it uses less digits than its factorization.

476772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 476772480 is about 21835.1203339940. The cubic root of 476772480 is about 781.2146754801.

The spelling of 476772480 in words is "four hundred seventy-six million, seven hundred seventy-two thousand, four hundred eighty".