45865008 has 160 divisors (see below), whose sum is σ = 155942400. Its totient is φ = 12628224.

The previous prime is 45864983. The next prime is 45865033. The reversal of 45865008 is 80056854.

It is a happy number.

45865008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45864983) and next prime (45865033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87435 + ... + 87957.

It is an arithmetic number, because the mean of its divisors is an integer number (974640).

Almost surely, 2^45865008 is an apocalyptic number.

45865008 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 45865008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77971200).

45865008 is an abundant number, since it is smaller than the sum of its proper divisors (110077392).

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

45865008 is a wasteful number, since it uses less digits than its factorization.

45865008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45865008 is about 6772.3709290026. The cubic root of 45865008 is about 357.9539489052.

The spelling of 45865008 in words is "forty-five million, eight hundred sixty-five thousand, eight".