74836440 has 256 divisors, whose sum is σ = 300672000. Its totient is φ = 16174080.

The previous prime is 74836351. The next prime is 74836471. The reversal of 74836440 is 4463847.

74836440 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 644 + 0 = 666.

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 = 74836395 and 74836404.

It is a congruent number.

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, 143380 + ... + 143900.

It is an arithmetic number, because the mean of its divisors is an integer number (1174500).

Almost surely, 2^74836440 is an apocalyptic number.

74836440 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 74836440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150336000).

74836440 is an abundant number, since it is smaller than the sum of its proper divisors (225835560).

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

74836440 is a wasteful number, since it uses less digits than its factorization.

74836440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

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

The square root of 74836440 is about 8650.8057428196. The cubic root of 74836440 is about 421.4095498726.

The spelling of 74836440 in words is "seventy-four million, eight hundred thirty-six thousand, four hundred forty".