74253456 has 80 divisors (see below), whose sum is σ = 220521600. Its totient is φ = 23893632.

The previous prime is 74253449. The next prime is 74253457. The reversal of 74253456 is 65435247.

74253456 is a `hidden beast` number, since 74 + 2 + 534 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74253456.

It is not an unprimeable number, because it can be changed into a prime (74253457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9565 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2^74253456 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 74253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

74253456 is an abundant number, since it is smaller than the sum of its proper divisors (146268144).

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

74253456 is a wasteful number, since it uses less digits than its factorization.

74253456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5961 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 74253456 is about 8617.0445049332. The cubic root of 74253456 is about 420.3124206068.

The spelling of 74253456 in words is "seventy-four million, two hundred fifty-three thousand, four hundred fifty-six".