474490957824 has 624 divisors, whose sum is σ = 1522723937280. Its totient is φ = 141469286400.

The previous prime is 474490957781. The next prime is 474490957849. The reversal of 474490957824 is 428759094474.

474490957824 is a `hidden beast` number, since 4 + 74 + 490 + 9 + 5 + 78 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 47 ways as a sum of consecutive naturals, for example, 3142324149 + ... + 3142324299.

It is an arithmetic number, because the mean of its divisors is an integer number (2440262720).

Almost surely, 2^474490957824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474490957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761361968640).

474490957824 is an abundant number, since it is smaller than the sum of its proper divisors (1048232979456).

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

474490957824 is a wasteful number, since it uses less digits than its factorization.

474490957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 474490957824 in words is "four hundred seventy-four billion, four hundred ninety million, nine hundred fifty-seven thousand, eight hundred twenty-four".