471562560 has 560 divisors, whose sum is σ = 2018117376. Its totient is φ = 102187008.

The previous prime is 471562519. The next prime is 471562561. The reversal of 471562560 is 65265174.

It is a happy number.

471562560 is a `hidden beast` number, since 47 + 1 + 56 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471562561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4173064 + ... + 4173176.

Almost surely, 2^471562560 is an apocalyptic number.

471562560 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 471562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009058688).

471562560 is an abundant number, since it is smaller than the sum of its proper divisors (1546554816).

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

471562560 is a wasteful number, since it uses less digits than its factorization.

471562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 471562560 is about 21715.4912447313. The cubic root of 471562560 is about 778.3586788370.

The spelling of 471562560 in words is "four hundred seventy-one million, five hundred sixty-two thousand, five hundred sixty".