474838135200 has 3456 divisors, whose sum is σ = 2293053235200. Its totient is φ = 94058496000.

The previous prime is 474838135139. The next prime is 474838135207. The reversal of 474838135200 is 2531838474.

474838135200 is a `hidden beast` number, since 4 + 7 + 48 + 3 + 81 + 3 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (474838135207) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15317359185 + ... + 15317359215.

It is an arithmetic number, because the mean of its divisors is an integer number (663499200).

Almost surely, 2^474838135200 is an apocalyptic number.

474838135200 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 474838135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146526617600).

474838135200 is an abundant number, since it is smaller than the sum of its proper divisors (1818215100000).

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

474838135200 is a wasteful number, since it uses less digits than its factorization.

474838135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 474838135200 in words is "four hundred seventy-four billion, eight hundred thirty-eight million, one hundred thirty-five thousand, two hundred".