45405824 has 32 divisors (see below), whose sum is σ = 93383040. Its totient is φ = 21968640.

The previous prime is 45405821. The next prime is 45405889. The reversal of 45405824 is 42850454.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45405821) 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 3 ways as a sum of consecutive naturals, for example, 1754 + ... + 9689.

It is an arithmetic number, because the mean of its divisors is an integer number (2918220).

Almost surely, 2^45405824 is an apocalyptic number.

It is an amenable number.

45405824 is an abundant number, since it is smaller than the sum of its proper divisors (47977216).

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

45405824 is a wasteful number, since it uses less digits than its factorization.

45405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 45405824 is about 6738.3843760949. The cubic root of 45405824 is about 356.7553712270.

The spelling of 45405824 in words is "forty-five million, four hundred five thousand, eight hundred twenty-four".