45380192 has 96 divisors (see below), whose sum is σ = 107702784. Its totient is φ = 18547200.

The previous prime is 45380177. The next prime is 45380201. The reversal of 45380192 is 29108354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214967 + ... + 215177.

It is an arithmetic number, because the mean of its divisors is an integer number (1121904).

Almost surely, 2^45380192 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 45380192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53851392).

45380192 is an abundant number, since it is smaller than the sum of its proper divisors (62322592).

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

45380192 is a wasteful number, since it uses less digits than its factorization.

45380192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 45380192 is about 6736.4821680162. The cubic root of 45380192 is about 356.6882280421.

The spelling of 45380192 in words is "forty-five million, three hundred eighty thousand, one hundred ninety-two".