45386432 has 56 divisors (see below), whose sum is σ = 110861856. Its totient is φ = 17952768.

The previous prime is 45386381. The next prime is 45386437. The reversal of 45386432 is 23468354.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 45386392 and 45386401.

It is not an unprimeable number, because it can be changed into a prime (45386437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1928 + ... + 9720.

It is an arithmetic number, because the mean of its divisors is an integer number (1979676).

Almost surely, 2^45386432 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 45386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55430928).

45386432 is an abundant number, since it is smaller than the sum of its proper divisors (65475424).

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

45386432 is a wasteful number, since it uses less digits than its factorization.

45386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7825 (or 7815 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 45386432 is about 6736.9453018412. The cubic root of 45386432 is about 356.7045760891.

The spelling of 45386432 in words is "forty-five million, three hundred eighty-six thousand, four hundred thirty-two".