45252864 has 72 divisors (see below), whose sum is σ = 133841120. Its totient is φ = 15081984.

The previous prime is 45252841. The next prime is 45252877. The reversal of 45252864 is 46825254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3639 + ... + 10185.

Almost surely, 2^45252864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66920560).

45252864 is an abundant number, since it is smaller than the sum of its proper divisors (88588256).

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

45252864 is an equidigital number, since it uses as much as digits as its factorization.

45252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6552 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 45252864 is about 6727.0248996120. The cubic root of 45252864 is about 356.3543162658.

The spelling of 45252864 in words is "forty-five million, two hundred fifty-two thousand, eight hundred sixty-four".