74400432 has 80 divisors (see below), whose sum is σ = 206460000. Its totient is φ = 23003136.

The previous prime is 74400427. The next prime is 74400437. The reversal of 74400432 is 23400447.

It is an interprime number because it is at equal distance from previous prime (74400427) and next prime (74400437).

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

It is not an unprimeable number, because it can be changed into a prime (74400437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58944 + ... + 60192.

It is an arithmetic number, because the mean of its divisors is an integer number (2580750).

Almost surely, 2^74400432 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 74400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103230000).

74400432 is an abundant number, since it is smaller than the sum of its proper divisors (132059568).

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

74400432 is a wasteful number, since it uses less digits than its factorization.

74400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

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

The square root of 74400432 is about 8625.5685030031. The cubic root of 74400432 is about 420.5895575334.

Adding to 74400432 its reverse (23400447), we get a palindrome (97800879).

The spelling of 74400432 in words is "seventy-four million, four hundred thousand, four hundred thirty-two".