475783560 has 288 divisors, whose sum is σ = 1868667840. Its totient is φ = 102829824.

The previous prime is 475783537. The next prime is 475783577. The reversal of 475783560 is 65387574.

475783560 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 83 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909459 + ... + 909981.

It is an arithmetic number, because the mean of its divisors is an integer number (6488430).

Almost surely, 2^475783560 is an apocalyptic number.

475783560 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 475783560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934333920).

475783560 is an abundant number, since it is smaller than the sum of its proper divisors (1392884280).

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

475783560 is a wasteful number, since it uses less digits than its factorization.

475783560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 475783560 is about 21812.4634097114. The cubic root of 475783560 is about 780.6741705838.

The spelling of 475783560 in words is "four hundred seventy-five million, seven hundred eighty-three thousand, five hundred sixty".