475225833600 has 2880 divisors, whose sum is σ = 2261085995520. Its totient is φ = 97542144000.

The previous prime is 475225833587. The next prime is 475225833623. The reversal of 475225833600 is 6338522574.

475225833600 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 2 + 5 + 8 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6693321565 + ... + 6693321635.

It is an arithmetic number, because the mean of its divisors is an integer number (785099304).

Almost surely, 2^475225833600 is an apocalyptic number.

475225833600 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 475225833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130542997760).

475225833600 is an abundant number, since it is smaller than the sum of its proper divisors (1785860161920).

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

475225833600 is a wasteful number, since it uses less digits than its factorization.

475225833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 475225833600 in words is "four hundred seventy-five billion, two hundred twenty-five million, eight hundred thirty-three thousand, six hundred".