45205692 has 24 divisors (see below), whose sum is σ = 120548736. Its totient is φ = 12915888.

The previous prime is 45205691. The next prime is 45205709. The reversal of 45205692 is 29650254.

45205692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268998 + ... + 269165.

It is an arithmetic number, because the mean of its divisors is an integer number (5022864).

Almost surely, 2^45205692 is an apocalyptic number.

45205692 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45205692 is an abundant number, since it is smaller than the sum of its proper divisors (75343044).

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

45205692 is a wasteful number, since it uses less digits than its factorization.

45205692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538177 (or 538175 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45205692 is about 6723.5178292320. The cubic root of 45205692 is about 356.2304508817.

The spelling of 45205692 in words is "forty-five million, two hundred five thousand, six hundred ninety-two".