74451600 has 90 divisors (see below), whose sum is σ = 258380226. Its totient is φ = 19852800.

The previous prime is 74451589. The next prime is 74451631. The reversal of 74451600 is 615447.

74451600 is a `hidden beast` number, since 7 + 4 + 4 + 51 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 74442384 = 96^2 + 8628^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6741 + ... + 13940.

Almost surely, 2^74451600 is an apocalyptic number.

It is an amenable number.

74451600 is an abundant number, since it is smaller than the sum of its proper divisors (183928626).

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

74451600 is a wasteful number, since it uses less digits than its factorization.

74451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20705 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74451600 is about 8628.5340585757. The cubic root of 74451600 is about 420.6859539039.

It can be divided in two parts, 7445 and 1600, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 74451600 in words is "seventy-four million, four hundred fifty-one thousand, six hundred".