475763904 has 336 divisors, whose sum is σ = 1803050496. Its totient is φ = 116121600.

The previous prime is 475763863. The next prime is 475763917. The reversal of 475763904 is 409367574.

475763904 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 475763904.

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, 753669 + ... + 754299.

Almost surely, 2^475763904 is an apocalyptic number.

475763904 is a gapful number since it is divisible by the number (44) 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 475763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901525248).

475763904 is an abundant number, since it is smaller than the sum of its proper divisors (1327286592).

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

475763904 is a wasteful number, since it uses less digits than its factorization.

475763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

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

The square root of 475763904 is about 21812.0128369667. The cubic root of 475763904 is about 780.6634197971.

The spelling of 475763904 in words is "four hundred seventy-five million, seven hundred sixty-three thousand, nine hundred four".