45164240 has 80 divisors (see below), whose sum is σ = 121331520. Its totient is φ = 15452160.

The previous prime is 45164237. The next prime is 45164243. The reversal of 45164240 is 4246154.

It is an interprime number because it is at equal distance from previous prime (45164237) and next prime (45164243).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45164243) 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, 13451 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (1516644).

Almost surely, 2^45164240 is an apocalyptic number.

45164240 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 45164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60665760).

45164240 is an abundant number, since it is smaller than the sum of its proper divisors (76167280).

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

45164240 is a wasteful number, since it uses less digits than its factorization.

45164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45164240 is about 6720.4345097620. The cubic root of 45164240 is about 356.1215340637.

The spelling of 45164240 in words is "forty-five million, one hundred sixty-four thousand, two hundred forty".