45978 has 16 divisors (see below), whose sum is σ = 94080. Its totient is φ = 14976.

The previous prime is 45971. The next prime is 45979. The reversal of 45978 is 87954.

It is a super-2 number, since 2×45978² = 4227952968, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

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 45978.

It is not an unprimeable number, because it can be changed into a prime (45971) 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, 426 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

45978 is a Friedman number, since it can be written as (9^4+8)*7-5, using all its digits and the basic arithmetic operations.

2⁴⁵⁹⁷⁸ is an apocalyptic number.

45978 is an abundant number, since it is smaller than the sum of its proper divisors (48102).

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 (47040).

45978 is a wasteful number, since it uses less digits than its factorization.

45978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 10080, while the sum is 33.

The square root of 45978 is about 214.4248119971. The cubic root of 45978 is about 35.8247656940.

The spelling of 45978 in words is "forty-five thousand, nine hundred seventy-eight".