45924192 has 96 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 14636160.

The previous prime is 45924167. The next prime is 45924199. The reversal of 45924192 is 29142954.

It is a tau number, because it is divible by the number of its divisors (96).

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 (45924199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18717 + ... + 21027.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 2^45924192 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 45924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

45924192 is an abundant number, since it is smaller than the sum of its proper divisors (93905568).

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

45924192 is a wasteful number, since it uses less digits than its factorization.

45924192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2339 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 45924192 is about 6776.7390388003. The cubic root of 45924192 is about 358.1078501148.

The spelling of 45924192 in words is "forty-five million, nine hundred twenty-four thousand, one hundred ninety-two".