74441640 has 256 divisors, whose sum is σ = 291755520. Its totient is φ = 14745600.

The previous prime is 74441599. The next prime is 74441651. The reversal of 74441640 is 4614447.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 74441598 and 74441607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185440 + ... + 185840.

It is an arithmetic number, because the mean of its divisors is an integer number (1139670).

Almost surely, 2^74441640 is an apocalyptic number.

74441640 is a gapful number since it is divisible by the number (70) 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 74441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145877760).

74441640 is an abundant number, since it is smaller than the sum of its proper divisors (217313880).

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

74441640 is a wasteful number, since it uses less digits than its factorization.

74441640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 74441640 is about 8627.9568844542. The cubic root of 74441640 is about 420.6671935327.

The spelling of 74441640 in words is "seventy-four million, four hundred forty-one thousand, six hundred forty".