475225632 has 288 divisors, whose sum is σ = 1661167872. Its totient is φ = 125908992.

The previous prime is 475225607. The next prime is 475225679. The reversal of 475225632 is 236522574.

475225632 is a `hidden beast` number, since 4 + 75 + 22 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (100800) is a multiple of the sum of its prime factors (360).

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 47 ways as a sum of consecutive naturals, for example, 1715478 + ... + 1715754.

It is an arithmetic number, because the mean of its divisors is an integer number (5767944).

Almost surely, 2^475225632 is an apocalyptic number.

475225632 is a gapful number since it is divisible by the number (42) 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 475225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830583936).

475225632 is an abundant number, since it is smaller than the sum of its proper divisors (1185942240).

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

475225632 is a wasteful number, since it uses less digits than its factorization.

475225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 475225632 is about 21799.6704562248. The cubic root of 475225632 is about 780.3688984815.

The spelling of 475225632 in words is "four hundred seventy-five million, two hundred twenty-five thousand, six hundred thirty-two".