474935685120 has 728 divisors, whose sum is σ = 1840974561216. Its totient is φ = 116859469824.

The previous prime is 474935685109. The next prime is 474935685149. The reversal of 474935685120 is 21586539474.

It is a happy number.

474935685120 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 3 + 568 + 51 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 194087737 + ... + 194090183.

It is a 1-persistent number, because it is pandigital, but 2⋅474935685120 = 949871370240 is not.

Almost surely, 2^474935685120 is an apocalyptic number.

474935685120 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 474935685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920487280608).

474935685120 is an abundant number, since it is smaller than the sum of its proper divisors (1366038876096).

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

474935685120 is an equidigital number, since it uses as much as digits as its factorization.

474935685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 474935685120 in words is "four hundred seventy-four billion, nine hundred thirty-five million, six hundred eighty-five thousand, one hundred twenty".