45920592 has 60 divisors (see below), whose sum is σ = 129024480. Its totient is φ = 15246144.

The previous prime is 45920591. The next prime is 45920629. The reversal of 45920592 is 29502954.

It is a happy number.

45920592 is a `hidden beast` number, since 45 + 9 + 20 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45920591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49509 + ... + 50427.

It is an arithmetic number, because the mean of its divisors is an integer number (2150408).

Almost surely, 2^45920592 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 45920592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512240).

45920592 is an abundant number, since it is smaller than the sum of its proper divisors (83103888).

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

45920592 is a wasteful number, since it uses less digits than its factorization.

45920592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45920592 is about 6776.4734191171. The cubic root of 45920592 is about 358.0984925055.

The spelling of 45920592 in words is "forty-five million, nine hundred twenty thousand, five hundred ninety-two".