74342400 has 252 divisors, whose sum is σ = 270188436. Its totient is φ = 18022400.

The previous prime is 74342393. The next prime is 74342431. The reversal of 74342400 is 424347.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6758395 + ... + 6758405.

Almost surely, 2^74342400 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 74342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135094218).

74342400 is an abundant number, since it is smaller than the sum of its proper divisors (195846036).

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

74342400 is a wasteful number, since it uses less digits than its factorization.

74342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 74342400 is about 8622.2038945968. The cubic root of 74342400 is about 420.4801764396.

Multiplying 74342400 by its sum of digits (24), we get a square (1784217600 = 42240²).

74342400 divided by its sum of digits (24) gives a square (3097600 = 1760²).

Adding to 74342400 its reverse (424347), we get a palindrome (74766747).

The spelling of 74342400 in words is "seventy-four million, three hundred forty-two thousand, four hundred".