45285824 has 56 divisors (see below), whose sum is σ = 96286320. Its totient is φ = 21057536.

The previous prime is 45285811. The next prime is 45285829. The reversal of 45285824 is 42858254.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45285829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116222 + ... + 116610.

Almost surely, 2^45285824 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 45285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48143160).

45285824 is an abundant number, since it is smaller than the sum of its proper divisors (51000496).

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

45285824 is a wasteful number, since it uses less digits than its factorization.

45285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 45285824 is about 6729.4742736710. The cubic root of 45285824 is about 356.4408123589.

The spelling of 45285824 in words is "forty-five million, two hundred eighty-five thousand, eight hundred twenty-four".