74085440 has 112 divisors (see below), whose sum is σ = 207385920. Its totient is φ = 24852480.

The previous prime is 74085421. The next prime is 74085463. The reversal of 74085440 is 4458047.

74085440 = T₃₆₀ + T₃₆₁ + ... + T₇₈₈.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 74085397 and 74085406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44951 + ... + 46569.

It is an arithmetic number, because the mean of its divisors is an integer number (1851660).

Almost surely, 2^74085440 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 74085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103692960).

74085440 is an abundant number, since it is smaller than the sum of its proper divisors (133300480).

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

74085440 is a wasteful number, since it uses less digits than its factorization.

74085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 74085440 is about 8607.2899335389. The cubic root of 74085440 is about 419.9951624537.

The spelling of 74085440 in words is "seventy-four million, eighty-five thousand, four hundred forty".