74484 has 18 divisors (see below), whose sum is σ = 188370. Its totient is φ = 24816.

The previous prime is 74471. The next prime is 74489. The reversal of 74484 is 48447.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 22500 = 228^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74489) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 999 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (10465).

2⁷⁴⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

74484 is an abundant number, since it is smaller than the sum of its proper divisors (113886).

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

74484 is a wasteful number, since it uses less digits than its factorization.

74484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2074 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 74484 is about 272.9175699731. The cubic root of 74484 is about 42.0746970046.

It can be divided in two parts, 7448 and 4, that multiplied together give a palindrome (29792).

The spelling of 74484 in words is "seventy-four thousand, four hundred eighty-four".