74464 has 24 divisors (see below), whose sum is σ = 158760. Its totient is φ = 34176.

The previous prime is 74453. The next prime is 74471. The reversal of 74464 is 46447.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

74464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁷⁴⁴⁶⁴ 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 74464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

74464 is an abundant number, since it is smaller than the sum of its proper divisors (84296).

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

74464 is a wasteful number, since it uses less digits than its factorization.

74464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 74464 is about 272.8809264130. The cubic root of 74464 is about 42.0709307851.

It can be divided in two parts, 744 and 64, that added together give a palindrome (808).

The spelling of 74464 in words is "seventy-four thousand, four hundred sixty-four".