45990 has 48 divisors (see below), whose sum is σ = 138528. Its totient is φ = 10368.

The previous prime is 45989. The next prime is 46021. The reversal of 45990 is 9954.

It is a happy number.

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

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 45990.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (2886).

2⁴⁵⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69264).

45990 is an abundant number, since it is smaller than the sum of its proper divisors (92538).

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

45990 is a wasteful number, since it uses less digits than its factorization.

45990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 45990 is about 214.4527920079. The cubic root of 45990 is about 35.8278821105.

It can be divided in two parts, 45 and 990, that added together give a triangular number (1035 = T₄₅).

The spelling of 45990 in words is "forty-five thousand, nine hundred ninety".