475204838400 has 660 divisors, whose sum is σ = 1777832887380. Its totient is φ = 125411328000.

The previous prime is 475204838393. The next prime is 475204838429. The reversal of 475204838400 is 4838402574.

It is a happy number.

475204838400 is a `hidden beast` number, since 4 + 7 + 5 + 204 + 8 + 38 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8923447296 + 466281391104 = 94464^2 + 682848^2 .

It is a super-2 number, since 2×475204838400² (a number of 24 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 209432466 + ... + 209434734.

It is an arithmetic number, because the mean of its divisors is an integer number (2693686193).

Almost surely, 2^475204838400 is an apocalyptic number.

475204838400 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 475204838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888916443690).

475204838400 is an abundant number, since it is smaller than the sum of its proper divisors (1302628048980).

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

475204838400 is a wasteful number, since it uses less digits than its factorization.

475204838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 475204838400 in words is "four hundred seventy-five billion, two hundred four million, eight hundred thirty-eight thousand, four hundred".