874333440 has 252 divisors, whose sum is σ = 3143367444. Its totient is φ = 232906752.

The previous prime is 874333429. The next prime is 874333457. The reversal of 874333440 is 44333478.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 156950784 + 717382656 = 12528^2 + 26784^2 .

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 = 874333395 and 874333404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932652 + ... + 933588.

Almost surely, 2^874333440 is an apocalyptic number.

874333440 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 874333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571683722).

874333440 is an abundant number, since it is smaller than the sum of its proper divisors (2269034004).

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

874333440 is an frugal number, since it uses more digits than its factorization.

874333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 874333440 is about 29569.1298485431. The cubic root of 874333440 is about 956.2226566576. Note that the first 3 decimals are identical.

The spelling of 874333440 in words is "eight hundred seventy-four million, three hundred thirty-three thousand, four hundred forty".