74485440 has 224 divisors, whose sum is σ = 271028160. Its totient is φ = 19243008.

The previous prime is 74485423. The next prime is 74485451. The reversal of 74485440 is 4458447.

74485440 is a `hidden beast` number, since 74 + 48 + 544 + 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 = 74485395 and 74485404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319564 + ... + 319796.

Almost surely, 2^74485440 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 74485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

74485440 is an abundant number, since it is smaller than the sum of its proper divisors (196542720).

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

74485440 is a wasteful number, since it uses less digits than its factorization.

74485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

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

The square root of 74485440 is about 8630.4947714485. The cubic root of 74485440 is about 420.7496814637.

The spelling of 74485440 in words is "seventy-four million, four hundred eighty-five thousand, four hundred forty".