45805824 has 135 divisors (see below), whose sum is σ = 139552567. Its totient is φ = 14943744.

The previous prime is 45805807. The next prime is 45805843. The reversal of 45805824 is 42850854.

The square root of 45805824 is 6768.

It is a perfect power (a square), and thus also a powerful number.

45805824 is a `hidden beast` number, since 4 + 580 + 58 + 24 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 974569 + ... + 974615.

Almost surely, 2^45805824 is an apocalyptic number.

45805824 is the 6768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45805824

45805824 is an abundant number, since it is smaller than the sum of its proper divisors (93746743).

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

45805824 is an frugal number, since it uses more digits than its factorization.

45805824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The cubic root of 45805824 is about 357.7999152429.

Multiplying 45805824 by its sum of digits (36), we get a square (1649009664 = 40608²).

45805824 divided by its sum of digits (36) gives a square (1272384 = 1128²).

It can be divided in two parts, 4580 and 5824, that added together give a square (10404 = 102²).

The spelling of 45805824 in words is "forty-five million, eight hundred five thousand, eight hundred twenty-four".