475387456 has 56 divisors (see below), whose sum is σ = 1023295896. Its totient is φ = 218234880.

The previous prime is 475387453. The next prime is 475387487. The reversal of 475387456 is 654783574.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 475240000 = 384^2 + 21800^2 .

It is not an unprimeable number, because it can be changed into a prime (475387453) 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 7 ways as a sum of consecutive naturals, for example, 39280 + ... + 49936.

It is an arithmetic number, because the mean of its divisors is an integer number (18273141).

Almost surely, 2^475387456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511647948).

475387456 is an abundant number, since it is smaller than the sum of its proper divisors (547908440).

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

475387456 is a wasteful number, since it uses less digits than its factorization.

475387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727 (or 10717 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 49.

The square root of 475387456 is about 21803.3817560488. The cubic root of 475387456 is about 780.4574655935.

The spelling of 475387456 in words is "four hundred seventy-five million, three hundred eighty-seven thousand, four hundred fifty-six".