45895008 has 48 divisors (see below), whose sum is σ = 121153536. Its totient is φ = 15212160.

The previous prime is 45895007. The next prime is 45895009. The reversal of 45895008 is 80059854.

It is an interprime number because it is at equal distance from previous prime (45895007) and next prime (45895009).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45895001) 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, 17085 + ... + 19587.

It is an arithmetic number, because the mean of its divisors is an integer number (2524032).

Almost surely, 2^45895008 is an apocalyptic number.

45895008 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 45895008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60576768).

45895008 is an abundant number, since it is smaller than the sum of its proper divisors (75258528).

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

45895008 is a wasteful number, since it uses less digits than its factorization.

45895008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

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

The square root of 45895008 is about 6774.5854485717. The cubic root of 45895008 is about 358.0319770028.

The spelling of 45895008 in words is "forty-five million, eight hundred ninety-five thousand, eight".