74858400 has 216 divisors, whose sum is σ = 272068524. Its totient is φ = 19353600.

The previous prime is 74858393. The next prime is 74858417. The reversal of 74858400 is 485847.

74858400 is a `hidden beast` number, since 74 + 8 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50296464 + 24561936 = 7092^2 + 4956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266260 + ... + 266540.

Almost surely, 2^74858400 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 74858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136034262).

74858400 is an abundant number, since it is smaller than the sum of its proper divisors (197210124).

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

74858400 is a wasteful number, since it uses less digits than its factorization.

74858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 74858400 is about 8652.0748956536. The cubic root of 74858400 is about 421.4507653050.

The spelling of 74858400 in words is "seventy-four million, eight hundred fifty-eight thousand, four hundred".