74304400 has 45 divisors (see below), whose sum is σ = 178931473. Its totient is φ = 29652800.

The previous prime is 74304389. The next prime is 74304403. The reversal of 74304400 is 440347.

The square root of 74304400 is 8620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26749584 + 47554816 = 5172^2 + 6896^2 .

It is a super-2 number, since 2×74304400² = 11042287718720000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74304403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172185 + ... + 172615.

Almost surely, 2^74304400 is an apocalyptic number.

74304400 is the 8620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74304400

74304400 is an abundant number, since it is smaller than the sum of its proper divisors (104627073).

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

74304400 is an equidigital number, since it uses as much as digits as its factorization.

74304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The cubic root of 74304400 is about 420.4085216374.

Adding to 74304400 its reverse (440347), we get a palindrome (74744747).

The spelling of 74304400 in words is "seventy-four million, three hundred four thousand, four hundred".