45564432 has 80 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 14069376.

The previous prime is 45564373. The next prime is 45564443. The reversal of 45564432 is 23446554.

It is a super-2 number, since 2×45564432² = 4152234926965248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45564393 and 45564402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42333 + ... + 43395.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^45564432 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 45564432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

45564432 is an abundant number, since it is smaller than the sum of its proper divisors (81094128).

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

45564432 is a wasteful number, since it uses less digits than its factorization.

45564432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 45564432 is about 6750.1431095940. The cubic root of 45564432 is about 357.1702849488.

The spelling of 45564432 in words is "forty-five million, five hundred sixty-four thousand, four hundred thirty-two".