473534880 has 384 divisors, whose sum is σ = 1891911168. Its totient is φ = 96878592.

The previous prime is 473534869. The next prime is 473534909. The reversal of 473534880 is 88435374.

It is a super-2 number, since 2×473534880² = 448470565153228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616014 + ... + 1616306.

It is an arithmetic number, because the mean of its divisors is an integer number (4926852).

Almost surely, 2^473534880 is an apocalyptic number.

473534880 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 473534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945955584).

473534880 is an abundant number, since it is smaller than the sum of its proper divisors (1418376288).

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

473534880 is a wasteful number, since it uses less digits than its factorization.

473534880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 473534880 is about 21760.8566007867. The cubic root of 473534880 is about 779.4423364344.

The spelling of 473534880 in words is "four hundred seventy-three million, five hundred thirty-four thousand, eight hundred eighty".