45905040 has 120 divisors (see below), whose sum is σ = 155912640. Its totient is φ = 12102912.

The previous prime is 45905029. The next prime is 45905047. The reversal of 45905040 is 4050954.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 45904995 and 45905013.

It is not an unprimeable number, because it can be changed into a prime (45905047) 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, 73851 + ... + 74469.

It is an arithmetic number, because the mean of its divisors is an integer number (1299272).

Almost surely, 2^45905040 is an apocalyptic number.

45905040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77956320).

45905040 is an abundant number, since it is smaller than the sum of its proper divisors (110007600).

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

45905040 is a wasteful number, since it uses less digits than its factorization.

45905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45905040 is about 6775.3258224236. The cubic root of 45905040 is about 358.0580620121.

Adding to 45905040 its reverse (4050954), we get a palindrome (49955994).

The spelling of 45905040 in words is "forty-five million, nine hundred five thousand, forty".