45809456 has 120 divisors (see below), whose sum is σ = 117921024. Its totient is φ = 16744320.

The previous prime is 45809447. The next prime is 45809461. The reversal of 45809456 is 65490854.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444701 + ... + 444803.

Almost surely, 2^45809456 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 45809456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

45809456 is an abundant number, since it is smaller than the sum of its proper divisors (72111568).

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

45809456 is a wasteful number, since it uses less digits than its factorization.

45809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 45809456 is about 6768.2683161943. The cubic root of 45809456 is about 357.8093717911.

The spelling of 45809456 in words is "forty-five million, eight hundred nine thousand, four hundred fifty-six".