74457504 has 144 divisors (see below), whose sum is σ = 243341280. Its totient is φ = 21358080.

The previous prime is 74457479. The next prime is 74457563. The reversal of 74457504 is 40575447.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 59574 + ... + 60810.

It is an arithmetic number, because the mean of its divisors is an integer number (1689870).

Almost surely, 2^74457504 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 74457504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121670640).

74457504 is an abundant number, since it is smaller than the sum of its proper divisors (168883776).

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

74457504 is a wasteful number, since it uses less digits than its factorization.

74457504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 74457504 is about 8628.8761724804. The cubic root of 74457504 is about 420.6970737197.

The spelling of 74457504 in words is "seventy-four million, four hundred fifty-seven thousand, five hundred four".