45870 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 11040.

The previous prime is 45869. The next prime is 45887. The reversal of 45870 is 7854.

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

It is a plaindrome in base 12.

It is a nialpdrome in base 6.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 45870.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴⁵⁸⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

45870 is an abundant number, since it is smaller than the sum of its proper divisors (75090).

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

45870 is a wasteful number, since it uses less digits than its factorization.

45870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 45870 is about 214.1728274081. The cubic root of 45870 is about 35.7966935140.

It can be divided in two parts, 458 and 70, that added together give a triangular number (528 = T₃₂).

The spelling of 45870 in words is "forty-five thousand, eight hundred seventy".