74198400 has 192 divisors, whose sum is σ = 250430400. Its totient is φ = 19302400.

The previous prime is 74198393. The next prime is 74198429. The reversal of 74198400 is 489147.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566335 + ... + 566465.

It is an arithmetic number, because the mean of its divisors is an integer number (1304325).

Almost surely, 2^74198400 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 74198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215200).

74198400 is an abundant number, since it is smaller than the sum of its proper divisors (176232000).

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

74198400 is a wasteful number, since it uses less digits than its factorization.

74198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 74198400 is about 8613.8493137505. The cubic root of 74198400 is about 420.2085132444.

The spelling of 74198400 in words is "seventy-four million, one hundred ninety-eight thousand, four hundred".