475754112 has 144 divisors (see below), whose sum is σ = 1455318150. Its totient is φ = 149151744.

The previous prime is 475754093. The next prime is 475754143. The reversal of 475754112 is 211457574.

475754112 is a `hidden beast` number, since 47 + 575 + 41 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 417139776 + 58614336 = 20424^2 + 7656^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332214 + ... + 333642.

Almost surely, 2^475754112 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 475754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727659075).

475754112 is an abundant number, since it is smaller than the sum of its proper divisors (979564038).

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

475754112 is a wasteful number, since it uses less digits than its factorization.

475754112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1451 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 475754112 is about 21811.7883723458. The cubic root of 475754112 is about 780.6580639832.

The spelling of 475754112 in words is "four hundred seventy-five million, seven hundred fifty-four thousand, one hundred twelve".