74414400 has 168 divisors, whose sum is σ = 251338080. Its totient is φ = 19261440.

The previous prime is 74414387. The next prime is 74414401. The reversal of 74414400 is 441447.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74414401) 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 23 ways as a sum of consecutive naturals, for example, 177391 + ... + 177809.

It is an arithmetic number, because the mean of its divisors is an integer number (1496060).

Almost surely, 2^74414400 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 74414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

74414400 is an abundant number, since it is smaller than the sum of its proper divisors (176923680).

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

74414400 is a wasteful number, since it uses less digits than its factorization.

74414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 74414400 is about 8626.3781507652. The cubic root of 74414400 is about 420.6158764995.

Adding to 74414400 its reverse (441447), we get a palindrome (74855847).

The spelling of 74414400 in words is "seventy-four million, four hundred fourteen thousand, four hundred".