874074240 has 320 divisors, whose sum is σ = 3364182360. Its totient is φ = 214990848.

The previous prime is 874074217. The next prime is 874074241. The reversal of 874074240 is 42470478.

874074240 is a `hidden beast` number, since 8 + 7 + 407 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 800663616 + 73410624 = 28296^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 = 874074195 and 874074204.

It is not an unprimeable number, because it can be changed into a prime (874074241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673272 + ... + 674568.

Almost surely, 2^874074240 is an apocalyptic number.

874074240 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 874074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682091180).

874074240 is an abundant number, since it is smaller than the sum of its proper divisors (2490108120).

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

874074240 is a wasteful number, since it uses less digits than its factorization.

874074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 874074240 is about 29564.7465742563. The cubic root of 874074240 is about 956.1281551788.

The spelling of 874074240 in words is "eight hundred seventy-four million, seventy-four thousand, two hundred forty".