74400480 has 432 divisors, whose sum is σ = 324166752. Its totient is φ = 15206400.

The previous prime is 74400479. The next prime is 74400481. The reversal of 74400480 is 8400447.

It is an interprime number because it is at equal distance from previous prime (74400479) and next prime (74400481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74400481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219650 + ... + 1219710.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^74400480 is an apocalyptic number.

74400480 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 74400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

74400480 is an abundant number, since it is smaller than the sum of its proper divisors (249766272).

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

74400480 is a wasteful number, since it uses less digits than its factorization.

74400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74400480 is about 8625.5712854280. The cubic root of 74400480 is about 420.5896479823.

The spelling of 74400480 in words is "seventy-four million, four hundred thousand, four hundred eighty".