74258400 has 72 divisors (see below), whose sum is σ = 241718904. Its totient is φ = 19801600.

The previous prime is 74258389. The next prime is 74258407. The reversal of 74258400 is 485247.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74258407) 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 11 ways as a sum of consecutive naturals, for example, 13071 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (3357207).

Almost surely, 2^74258400 is an apocalyptic number.

It is an amenable number.

74258400 is an abundant number, since it is smaller than the sum of its proper divisors (167460504).

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

74258400 is a wasteful number, since it uses less digits than its factorization.

74258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30964 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 74258400 is about 8617.3313734590. The cubic root of 74258400 is about 420.3217489201.

The spelling of 74258400 in words is "seventy-four million, two hundred fifty-eight thousand, four hundred".