45914640 has 80 divisors (see below), whose sum is σ = 149841600. Its totient is φ = 11598336.

The previous prime is 45914623. The next prime is 45914641. The reversal of 45914640 is 4641954.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45914641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (1873020).

Almost surely, 2^45914640 is an apocalyptic number.

45914640 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 45914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74920800).

45914640 is an abundant number, since it is smaller than the sum of its proper divisors (103926960).

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

45914640 is a wasteful number, since it uses less digits than its factorization.

45914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45914640 is about 6776.0342384023. The cubic root of 45914640 is about 358.0830201852.

The spelling of 45914640 in words is "forty-five million, nine hundred fourteen thousand, six hundred forty".