474483225600 has 660 divisors, whose sum is σ = 1800130661868. Its totient is φ = 123420672000.

The previous prime is 474483225599. The next prime is 474483225647. The reversal of 474483225600 is 6522384474.

It is a happy number.

474483225600 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 8 + 32 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 116668698624 + 357814526976 = 341568^2 + 598176^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85014810 + ... + 85020390.

Almost surely, 2^474483225600 is an apocalyptic number.

474483225600 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 474483225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900065330934).

474483225600 is an abundant number, since it is smaller than the sum of its proper divisors (1325647436268).

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

474483225600 is a wasteful number, since it uses less digits than its factorization.

474483225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 474483225600 in words is "four hundred seventy-four billion, four hundred eighty-three million, two hundred twenty-five thousand, six hundred".