45686592 has 140 divisors (see below), whose sum is σ = 154899360. Its totient is φ = 13042944.

The previous prime is 45686581. The next prime is 45686593. The reversal of 45686592 is 29568654.

45686592 is a `hidden beast` number, since 4 + 56 + 8 + 6 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45686593) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35659 + ... + 36917.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2^45686592 is an apocalyptic number.

45686592 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 45686592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77449680).

45686592 is an abundant number, since it is smaller than the sum of its proper divisors (109212768).

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

45686592 is a wasteful number, since it uses less digits than its factorization.

45686592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1271 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 45686592 is about 6759.1857497779. The cubic root of 45686592 is about 357.4891958852.

The spelling of 45686592 in words is "forty-five million, six hundred eighty-six thousand, five hundred ninety-two".