474821222400 has 2016 divisors, whose sum is σ = 2129653693440. Its totient is φ = 102558597120.

The previous prime is 474821222269. The next prime is 474821222413. The reversal of 474821222400 is 4222128474.

474821222400 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 21 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10102579177 + ... + 10102579223.

It is an arithmetic number, because the mean of its divisors is an integer number (1056375840).

Almost surely, 2^474821222400 is an apocalyptic number.

474821222400 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 474821222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064826846720).

474821222400 is an abundant number, since it is smaller than the sum of its proper divisors (1654832471040).

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

474821222400 is an equidigital number, since it uses as much as digits as its factorization.

474821222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 474821222400 in words is "four hundred seventy-four billion, eight hundred twenty-one million, two hundred twenty-two thousand, four hundred".