45510 has 32 divisors (see below), whose sum is σ = 114912. Its totient is φ = 11520.

The previous prime is 45503. The next prime is 45523. The reversal of 45510 is 1554.

45510 is nontrivially palindromic in base 11.

45510 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 45510.

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, 1090 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2⁴⁵⁵¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

45510 is an abundant number, since it is smaller than the sum of its proper divisors (69402).

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

45510 is a wasteful number, since it uses less digits than its factorization.

45510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 45510 is about 213.3307291508. The cubic root of 45510 is about 35.7028001162.

Subtracting from 45510 its reverse (1554), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 455 and 10, that added together give a triangular number (465 = T₃₀).

The spelling of 45510 in words is "forty-five thousand, five hundred ten".