476873280 has 336 divisors, whose sum is σ = 1810658304. Its totient is φ = 114462720.

The previous prime is 476873269. The next prime is 476873281. The reversal of 476873280 is 82378674.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (476873281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759545 + ... + 1759815.

It is an arithmetic number, because the mean of its divisors is an integer number (5388864).

Almost surely, 2^476873280 is an apocalyptic number.

476873280 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 476873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905329152).

476873280 is an abundant number, since it is smaller than the sum of its proper divisors (1333785024).

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

476873280 is a wasteful number, since it uses less digits than its factorization.

476873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 476873280 is about 21837.4284200315. The cubic root of 476873280 is about 781.2697268192.

The spelling of 476873280 in words is "four hundred seventy-six million, eight hundred seventy-three thousand, two hundred eighty".