45678 has 16 divisors (see below), whose sum is σ = 95616. Its totient is φ = 14520.

The previous prime is 45677. The next prime is 45691. The reversal of 45678 is 87654.

It is a happy number.

45678 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (5976).

2⁴⁵⁶⁷⁸ is an apocalyptic number.

45678 is an abundant number, since it is smaller than the sum of its proper divisors (49938).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47808).

45678 is a wasteful number, since it uses less digits than its factorization.

45678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 6720, while the sum is 30.

The square root of 45678 is about 213.7241212404. The cubic root of 45678 is about 35.7466784206.

Multiplying 45678 by its sum of digits (30), we get a triangular number (1370340 = T₁₆₅₅).

The spelling of 45678 in words is "forty-five thousand, six hundred seventy-eight".