874457424 has 320 divisors, whose sum is σ = 2879815680. Its totient is φ = 252426240.

The previous prime is 874457411. The next prime is 874457431. The reversal of 874457424 is 424754478.

874457424 is a `hidden beast` number, since 8 + 74 + 4 + 574 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 874457424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5236189 + ... + 5236355.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^874457424 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 874457424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

874457424 is an abundant number, since it is smaller than the sum of its proper divisors (2005358256).

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

874457424 is a wasteful number, since it uses less digits than its factorization.

874457424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 45.

The square root of 874457424 is about 29571.2262850224. The cubic root of 874457424 is about 956.2678532614.

The spelling of 874457424 in words is "eight hundred seventy-four million, four hundred fifty-seven thousand, four hundred twenty-four".