475233875200 has 432 divisors, whose sum is σ = 1408225867776. Its totient is φ = 155247206400.

The previous prime is 475233875173. The next prime is 475233875239. The reversal of 475233875200 is 2578332574.

It is a super-2 number, since 2×475233875200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320453659 + ... + 320455141.

Almost surely, 2^475233875200 is an apocalyptic number.

475233875200 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 475233875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704112933888).

475233875200 is an abundant number, since it is smaller than the sum of its proper divisors (932991992576).

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

475233875200 is a wasteful number, since it uses less digits than its factorization.

475233875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 475233875200 in words is "four hundred seventy-five billion, two hundred thirty-three million, eight hundred seventy-five thousand, two hundred".