45359232 has 64 divisors (see below), whose sum is σ = 126847200. Its totient is φ = 14321664.

The previous prime is 45359227. The next prime is 45359239. The reversal of 45359232 is 23295354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 45359193 and 45359202.

It is not an unprimeable number, because it can be changed into a prime (45359239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4188 + ... + 10404.

Almost surely, 2^45359232 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 45359232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63423600).

45359232 is an abundant number, since it is smaller than the sum of its proper divisors (81487968).

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

45359232 is a wasteful number, since it uses less digits than its factorization.

45359232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6241 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 45359232 is about 6734.9262802201. The cubic root of 45359232 is about 356.6333043978.

It can be divided in two parts, 453 and 59232, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 45359232 in words is "forty-five million, three hundred fifty-nine thousand, two hundred thirty-two".