475608672 has 240 divisors, whose sum is σ = 1744630272. Its totient is φ = 123482880.

The previous prime is 475608667. The next prime is 475608691. The reversal of 475608672 is 276806574.

475608672 is a `hidden beast` number, since 4 + 7 + 560 + 86 + 7 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 198393 + ... + 200775.

Almost surely, 2^475608672 is an apocalyptic number.

475608672 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 475608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872315136).

475608672 is an abundant number, since it is smaller than the sum of its proper divisors (1269021600).

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

475608672 is a wasteful number, since it uses less digits than its factorization.

475608672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 475608672 is about 21808.4541405392. The cubic root of 475608672 is about 780.5785057425.

The spelling of 475608672 in words is "four hundred seventy-five million, six hundred eight thousand, six hundred seventy-two".