474820248400 has 120 divisors (see below), whose sum is σ = 1146893379840. Its totient is φ = 188908177920.

The previous prime is 474820248367. The next prime is 474820248451. The reversal of 474820248400 is 4842028474.

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 23 ways as a sum of consecutive naturals, for example, 96840349 + ... + 96845251.

It is an arithmetic number, because the mean of its divisors is an integer number (9557444832).

Almost surely, 2^474820248400 is an apocalyptic number.

474820248400 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 474820248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573446689920).

474820248400 is an abundant number, since it is smaller than the sum of its proper divisors (672073131440).

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

474820248400 is a wasteful number, since it uses less digits than its factorization.

474820248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 43.

The spelling of 474820248400 in words is "four hundred seventy-four billion, eight hundred twenty million, two hundred forty-eight thousand, four hundred".