476282880 has 384 divisors, whose sum is σ = 1840222800. Its totient is φ = 113246208.

The previous prime is 476282867. The next prime is 476282887. The reversal of 476282880 is 88282674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476282887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25067511 + ... + 25067529.

Almost surely, 2^476282880 is an apocalyptic number.

476282880 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 476282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920111400).

476282880 is an abundant number, since it is smaller than the sum of its proper divisors (1363939920).

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

476282880 is a wasteful number, since it uses less digits than its factorization.

476282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 476282880 is about 21823.9061581560. The cubic root of 476282880 is about 780.9471728310.

The spelling of 476282880 in words is "four hundred seventy-six million, two hundred eighty-two thousand, eight hundred eighty".