45474 has 32 divisors (see below), whose sum is σ = 108864. Its totient is φ = 12480.

The previous prime is 45439. The next prime is 45481. The reversal of 45474 is 47454.

45474 = T₁₂ + T₁₃ + ... + T₆₄.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁴⁵⁴⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

45474 is an abundant number, since it is smaller than the sum of its proper divisors (63390).

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

45474 is a wasteful number, since it uses less digits than its factorization.

45474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 2240, while the sum is 24.

The square root of 45474 is about 213.2463364281. The cubic root of 45474 is about 35.6933835787.

Subtracting from 45474 its product of digits (2240), we obtain a palindrome (43234).

It can be divided in two parts, 454 and 74, that added together give a triangular number (528 = T₃₂).

The spelling of 45474 in words is "forty-five thousand, four hundred seventy-four".