45287424 has 288 divisors, whose sum is σ = 166944960. Its totient is φ = 11943936.

The previous prime is 45287423. The next prime is 45287453. The reversal of 45287424 is 42478254.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45287423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3483642 + ... + 3483654.

It is an arithmetic number, because the mean of its divisors is an integer number (579670).

Almost surely, 2^45287424 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 45287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472480).

45287424 is an abundant number, since it is smaller than the sum of its proper divisors (121657536).

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

45287424 is an equidigital number, since it uses as much as digits as its factorization.

45287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 45287424 is about 6729.5931526356. The cubic root of 45287424 is about 356.4450101301.

The spelling of 45287424 in words is "forty-five million, two hundred eighty-seven thousand, four hundred twenty-four".