45509408 has 144 divisors (see below), whose sum is σ = 117593280. Its totient is φ = 16920576.

The previous prime is 45509407. The next prime is 45509411. The reversal of 45509408 is 80490554.

It is a super-2 number, since 2×45509408² = 4142212433020928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45509407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229966 + ... + 1230002.

It is an arithmetic number, because the mean of its divisors is an integer number (816620).

Almost surely, 2^45509408 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 45509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58796640).

45509408 is an abundant number, since it is smaller than the sum of its proper divisors (72083872).

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

45509408 is a wasteful number, since it uses less digits than its factorization.

45509408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 45509408 is about 6746.0661129283. The cubic root of 45509408 is about 357.0264530663.

The spelling of 45509408 in words is "forty-five million, five hundred nine thousand, four hundred eight".