45905088 has 56 divisors (see below), whose sum is σ = 124065792. Its totient is φ = 14973184.

The previous prime is 45905081. The next prime is 45905149. The reversal of 45905088 is 88050954.

It is not an unprimeable number, because it can be changed into a prime (45905081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6481 + ... + 11567.

Almost surely, 2^45905088 is an apocalyptic number.

45905088 is a gapful number since it is divisible by the number (48) 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 45905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62032896).

45905088 is an abundant number, since it is smaller than the sum of its proper divisors (78160704).

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

45905088 is a wasteful number, since it uses less digits than its factorization.

45905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 45905088 is about 6775.3293646877. The cubic root of 45905088 is about 358.0581868116.

The spelling of 45905088 in words is "forty-five million, nine hundred five thousand, eighty-eight".