45784032 has 72 divisors (see below), whose sum is σ = 139819176. Its totient is φ = 13079808.

The previous prime is 45784031. The next prime is 45784049. The reversal of 45784032 is 23048754.

It is a junction number, because it is equal to n+sod(n) for n = 45783984 and 45784002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45784031) 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, 163 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (1941933).

Almost surely, 2^45784032 is an apocalyptic number.

45784032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45784032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69909588).

45784032 is an abundant number, since it is smaller than the sum of its proper divisors (94035144).

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

45784032 is a wasteful number, since it uses less digits than its factorization.

45784032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45784032 is about 6766.3898793965. The cubic root of 45784032 is about 357.7431654537.

The spelling of 45784032 in words is "forty-five million, seven hundred eighty-four thousand, thirty-two".