475905024 has 176 divisors, whose sum is σ = 1611398400. Its totient is φ = 135917568.

The previous prime is 475905013. The next prime is 475905043. The reversal of 475905024 is 420509574.

475905024 is a `hidden beast` number, since 47 + 590 + 5 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 475905024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 192307 + ... + 194765.

Almost surely, 2^475905024 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 475905024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805699200).

475905024 is an abundant number, since it is smaller than the sum of its proper divisors (1135493376).

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

475905024 is a wasteful number, since it uses less digits than its factorization.

475905024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2471 counting only the distinct ones).

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

The square root of 475905024 is about 21815.2475117749. The cubic root of 475905024 is about 780.7405983655.

The spelling of 475905024 in words is "four hundred seventy-five million, nine hundred five thousand, twenty-four".