475975764 has 252 divisors, whose sum is σ = 1465319520. Its totient is φ = 134719200.

The previous prime is 475975763. The next prime is 475975769. The reversal of 475975764 is 467579574.

475975764 is a `hidden beast` number, since 47 + 597 + 5 + 7 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 475975764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475975763) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6703849 + ... + 6703919.

It is an arithmetic number, because the mean of its divisors is an integer number (5814760).

Almost surely, 2^475975764 is an apocalyptic number.

475975764 is a gapful number since it is divisible by the number (44) 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 475975764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732659760).

475975764 is an abundant number, since it is smaller than the sum of its proper divisors (989343756).

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

475975764 is a wasteful number, since it uses less digits than its factorization.

475975764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 475975764 is about 21816.8687945819. The cubic root of 475975764 is about 780.7792803510.

It can be divided in two parts, 47597 and 5764, that added together give a square (53361 = 231²).

The spelling of 475975764 in words is "four hundred seventy-five million, nine hundred seventy-five thousand, seven hundred sixty-four".