74845440 has 216 divisors, whose sum is σ = 265454280. Its totient is φ = 19464192.

The previous prime is 74845423. The next prime is 74845457. The reversal of 74845440 is 4454847.

It is an interprime number because it is at equal distance from previous prime (74845423) and next prime (74845457).

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 72182016 = 1632^2 + 8496^2 .

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 = 74845395 and 74845404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840916 + ... + 841004.

It is an arithmetic number, because the mean of its divisors is an integer number (1228955).

Almost surely, 2^74845440 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 74845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132727140).

74845440 is an abundant number, since it is smaller than the sum of its proper divisors (190608840).

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

74845440 is a wasteful number, since it uses less digits than its factorization.

74845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 74845440 is about 8651.3259099400. The cubic root of 74845440 is about 421.4264424182.

The spelling of 74845440 in words is "seventy-four million, eight hundred forty-five thousand, four hundred forty".