45456 has 20 divisors (see below), whose sum is σ = 117552. Its totient is φ = 15136.

The previous prime is 45439. The next prime is 45481. The reversal of 45456 is 65454.

45456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45456.

It is an unprimeable number.

45456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 426 + ... + 521.

2⁴⁵⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

45456 is an abundant number, since it is smaller than the sum of its proper divisors (72096).

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 (58776).

45456 is a wasteful number, since it uses less digits than its factorization.

45456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 45456 is about 213.2041275398. The cubic root of 45456 is about 35.6886734462.

It can be divided in two parts, 4 and 5456, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 45456 in words is "forty-five thousand, four hundred fifty-six".