74240400 has 120 divisors (see below), whose sum is σ = 256164160. Its totient is φ = 18270720.

The previous prime is 74240399. The next prime is 74240417. The reversal of 74240400 is 404247.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13221 + ... + 17979.

Almost surely, 2^74240400 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 74240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128082080).

74240400 is an abundant number, since it is smaller than the sum of its proper divisors (181923760).

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

74240400 is a wasteful number, since it uses less digits than its factorization.

74240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 74240400 is about 8616.2869033012. The cubic root of 74240400 is about 420.2877846239.

Adding to 74240400 its reverse (404247), we get a palindrome (74644647).

The spelling of 74240400 in words is "seventy-four million, two hundred forty thousand, four hundred".