45210 has 32 divisors (see below), whose sum is σ = 119232. Its totient is φ = 10880.

The previous prime is 45197. The next prime is 45233. The reversal of 45210 is 1254.

It is an Ulam number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45210.

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, 262 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (3726).

2⁴⁵²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616).

45210 is an abundant number, since it is smaller than the sum of its proper divisors (74022).

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

45210 is a wasteful number, since it uses less digits than its factorization.

45210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 45210 is about 212.6264329758. The cubic root of 45210 is about 35.6241766507.

Adding to 45210 its reverse (1254), we get a palindrome (46464).

Subtracting from 45210 its reverse (1254), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 45210 in words is "forty-five thousand, two hundred ten".