74683440 has 240 divisors, whose sum is σ = 276232320. Its totient is φ = 17971200.

The previous prime is 74683391. The next prime is 74683447. The reversal of 74683440 is 4438647.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 74683395 and 74683404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74683447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739390 + ... + 739490.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^74683440 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 74683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

74683440 is an abundant number, since it is smaller than the sum of its proper divisors (201548880).

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

74683440 is a wasteful number, since it uses less digits than its factorization.

74683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 74683440 is about 8641.9581114467. The cubic root of 74683440 is about 421.1221691511.

The spelling of 74683440 in words is "seventy-four million, six hundred eighty-three thousand, four hundred forty".