74406400 has 60 divisors (see below), whose sum is σ = 184379382. Its totient is φ = 29757440.

The previous prime is 74406391. The next prime is 74406401. The reversal of 74406400 is 460447.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 61214976 + 13191424 = 7824^2 + 3632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (74406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9894 + ... + 15706.

Almost surely, 2^74406400 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 74406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92189691).

74406400 is an abundant number, since it is smaller than the sum of its proper divisors (109972982).

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

74406400 is an equidigital number, since it uses as much as digits as its factorization.

74406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 74406400 is about 8625.9144442778. The cubic root of 74406400 is about 420.6008030388.

Adding to 74406400 its reverse (460447), we get a palindrome (74866847).

The spelling of 74406400 in words is "seventy-four million, four hundred six thousand, four hundred".