45467824 has 60 divisors (see below), whose sum is σ = 95043520. Its totient is φ = 21047040.

The previous prime is 45467789. The next prime is 45467827. The reversal of 45467824 is 42876454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45467827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417082 + ... + 417190.

Almost surely, 2^45467824 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 45467824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47521760).

45467824 is an abundant number, since it is smaller than the sum of its proper divisors (49575696).

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

45467824 is a wasteful number, since it uses less digits than its factorization.

45467824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 45467824 is about 6742.9833160108. The cubic root of 45467824 is about 356.9176762003.

The spelling of 45467824 in words is "forty-five million, four hundred sixty-seven thousand, eight hundred twenty-four".