475047936 has 288 divisors, whose sum is σ = 1568548800. Its totient is φ = 141926400.

The previous prime is 475047917. The next prime is 475047943. The reversal of 475047936 is 639740574.

475047936 is a `hidden beast` number, since 47 + 504 + 79 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 475047891 and 475047900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690781 + ... + 6690851.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^475047936 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 475047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

475047936 is an abundant number, since it is smaller than the sum of its proper divisors (1093500864).

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

475047936 is a wasteful number, since it uses less digits than its factorization.

475047936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 475047936 is about 21795.5944172211. The cubic root of 475047936 is about 780.2716213780.

The spelling of 475047936 in words is "four hundred seventy-five million, forty-seven thousand, nine hundred thirty-six".