475263703200 has 1296 divisors, whose sum is σ = 1906624155744. Its totient is φ = 102136320000.

The previous prime is 475263703171. The next prime is 475263703219. The reversal of 475263703200 is 2307362574.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3627967135 + ... + 3627967265.

It is an arithmetic number, because the mean of its divisors is an integer number (1471160614).

Almost surely, 2^475263703200 is an apocalyptic number.

475263703200 is a gapful number since it is divisible by the number (40) 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 475263703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953312077872).

475263703200 is an abundant number, since it is smaller than the sum of its proper divisors (1431360452544).

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

475263703200 is a wasteful number, since it uses less digits than its factorization.

475263703200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 475263703200 in words is "four hundred seventy-five billion, two hundred sixty-three million, seven hundred three thousand, two hundred".