74199456 has 96 divisors (see below), whose sum is σ = 218191680. Its totient is φ = 24530688.

The previous prime is 74199443. The next prime is 74199469. The reversal of 74199456 is 65499147.

74199456 is a `hidden beast` number, since 7 + 4 + 199 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (74199443) and next prime (74199469).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135375 + ... + 135921.

It is an arithmetic number, because the mean of its divisors is an integer number (2272830).

Almost surely, 2^74199456 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 74199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109095840).

74199456 is an abundant number, since it is smaller than the sum of its proper divisors (143992224).

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

74199456 is a wasteful number, since it uses less digits than its factorization.

74199456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 74199456 is about 8613.9106101700. The cubic root of 74199456 is about 420.2105067199.

The spelling of 74199456 in words is "seventy-four million, one hundred ninety-nine thousand, four hundred fifty-six".