45909024 has 96 divisors (see below), whose sum is σ = 140434560. Its totient is φ = 12859392.

The previous prime is 45908999. The next prime is 45909029. The reversal of 45909024 is 42090954.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45909029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34972 + ... + 36260.

It is an arithmetic number, because the mean of its divisors is an integer number (1462860).

Almost surely, 2^45909024 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 45909024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70217280).

45909024 is an abundant number, since it is smaller than the sum of its proper divisors (94525536).

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

45909024 is a wasteful number, since it uses less digits than its factorization.

45909024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 45909024 is about 6775.6198240456. The cubic root of 45909024 is about 358.0684200762.

Adding to 45909024 its reverse (42090954), we get a palindrome (87999978).

The spelling of 45909024 in words is "forty-five million, nine hundred nine thousand, twenty-four".