74579904 has 168 divisors, whose sum is σ = 249631200. Its totient is φ = 20846592.

The previous prime is 74579903. The next prime is 74579917. The reversal of 74579904 is 40997547.

74579904 is a `hidden beast` number, since 74 + 579 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 74579904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74579903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213522 + ... + 213870.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^74579904 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 74579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124815600).

74579904 is an abundant number, since it is smaller than the sum of its proper divisors (175051296).

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

74579904 is a wasteful number, since it uses less digits than its factorization.

74579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 74579904 is about 8635.9657248046. The cubic root of 74579904 is about 420.9274741868.

The spelling of 74579904 in words is "seventy-four million, five hundred seventy-nine thousand, nine hundred four".