45496 has 24 divisors (see below), whose sum is σ = 95760. Its totient is φ = 20240.

The previous prime is 45491. The next prime is 45497. The reversal of 45496 is 69454.

45496 = T₅₃ + T₅₄ + ... + T₇₄.

45496 = 5² + 6² + ... + 51².

45496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (4320) is a multiple of the sum of its prime divisors (60).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 945 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁴⁵⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

45496 is an abundant number, since it is smaller than the sum of its proper divisors (50264).

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

45496 is a wasteful number, since it uses less digits than its factorization.

45496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 45496 is about 213.2979137263. The cubic root of 45496 is about 35.6991387197.

The spelling of 45496 in words is "forty-five thousand, four hundred ninety-six".