74499600 has 240 divisors, whose sum is σ = 279843200. Its totient is φ = 16934400.

The previous prime is 74499587. The next prime is 74499613. The reversal of 74499600 is 699447.

It is an interprime number because it is at equal distance from previous prime (74499587) and next prime (74499613).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411510 + ... + 411690.

Almost surely, 2^74499600 is an apocalyptic number.

74499600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74499600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139921600).

74499600 is an abundant number, since it is smaller than the sum of its proper divisors (205343600).

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

74499600 is a wasteful number, since it uses less digits than its factorization.

74499600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 74499600 is about 8631.3150794071. The cubic root of 74499600 is about 420.7763418776.

The spelling of 74499600 in words is "seventy-four million, four hundred ninety-nine thousand, six hundred".