471250560 has 256 divisors, whose sum is σ = 1673550720. Its totient is φ = 111820800.

The previous prime is 471250543. The next prime is 471250579. The reversal of 471250560 is 65052174.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119150 + ... + 1119570.

Almost surely, 2^471250560 is an apocalyptic number.

471250560 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 471250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836775360).

471250560 is an abundant number, since it is smaller than the sum of its proper divisors (1202300160).

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

471250560 is a wasteful number, since it uses less digits than its factorization.

471250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 471250560 is about 21708.3062443849. The cubic root of 471250560 is about 778.1869791118.

The spelling of 471250560 in words is "four hundred seventy-one million, two hundred fifty thousand, five hundred sixty".