45533792 has 48 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 21826560.

The previous prime is 45533777. The next prime is 45533801. The reversal of 45533792 is 29733554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195308 + ... + 195540.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^45533792 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 45533792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

45533792 is an abundant number, since it is smaller than the sum of its proper divisors (47871520).

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

45533792 is a wasteful number, since it uses less digits than its factorization.

45533792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its digits is 113400, while the sum is 38.

The square root of 45533792 is about 6747.8731464069. The cubic root of 45533792 is about 357.0902067605.

The spelling of 45533792 in words is "forty-five million, five hundred thirty-three thousand, seven hundred ninety-two".