476224560 has 240 divisors, whose sum is σ = 1858958400. Its totient is φ = 106997760.

The previous prime is 476224547. The next prime is 476224571. The reversal of 476224560 is 65422674.

476224560 is a `hidden beast` number, since 4 + 76 + 2 + 24 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306666 + ... + 308214.

It is an arithmetic number, because the mean of its divisors is an integer number (7745660).

Almost surely, 2^476224560 is an apocalyptic number.

476224560 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 476224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929479200).

476224560 is an abundant number, since it is smaller than the sum of its proper divisors (1382733840).

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

476224560 is a wasteful number, since it uses less digits than its factorization.

476224560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 476224560 is about 21822.5699678108. The cubic root of 476224560 is about 780.9152963278.

The spelling of 476224560 in words is "four hundred seventy-six million, two hundred twenty-four thousand, five hundred sixty".