45240192 has 96 divisors (see below), whose sum is σ = 131512680. Its totient is φ = 14926848.

The previous prime is 45240187. The next prime is 45240211. The reversal of 45240192 is 29104254.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 199183 + ... + 199409.

Almost surely, 2^45240192 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 45240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65756340).

45240192 is an abundant number, since it is smaller than the sum of its proper divisors (86272488).

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

45240192 is a wasteful number, since it uses less digits than its factorization.

45240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45240192 is about 6726.0829611298. The cubic root of 45240192 is about 356.3210502794.

The spelling of 45240192 in words is "forty-five million, two hundred forty thousand, one hundred ninety-two".