874344240 has 480 divisors, whose sum is σ = 3826897920. Its totient is φ = 181440000.

The previous prime is 874344199. The next prime is 874344253. The reversal of 874344240 is 42443478.

It is a happy number.

874344240 is a `hidden beast` number, since 8 + 74 + 344 + 240 = 666.

874344240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 874344195 and 874344204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163865 + ... + 1164615.

It is an arithmetic number, because the mean of its divisors is an integer number (7972704).

Almost surely, 2^874344240 is an apocalyptic number.

874344240 is a gapful number since it is divisible by the number (80) 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 874344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913448960).

874344240 is an abundant number, since it is smaller than the sum of its proper divisors (2952553680).

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

874344240 is a wasteful number, since it uses less digits than its factorization.

874344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 874344240 is about 29569.3124708709. The cubic root of 874344240 is about 956.2265938139.

The spelling of 874344240 in words is "eight hundred seventy-four million, three hundred forty-four thousand, two hundred forty".