45460 has 12 divisors (see below), whose sum is σ = 95508. Its totient is φ = 18176.

The previous prime is 45439. The next prime is 45481. The reversal of 45460 is 6454.

It is an interprime number because it is at equal distance from previous prime (45439) and next prime (45481).

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 15876 = 172^2 + 126^2 .

It is a super-2 number, since 2×45460² = 4133223200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1117 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (7959).

2⁴⁵⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

45460 is an abundant number, since it is smaller than the sum of its proper divisors (50048).

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 (47754).

45460 is a wasteful number, since it uses less digits than its factorization.

45460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45460 is about 213.2135080149. The cubic root of 45460 is about 35.6897202498.

It can be divided in two parts, 45 and 460, that added together give a palindrome (505).

The spelling of 45460 in words is "forty-five thousand, four hundred sixty".