45312384 has 128 divisors (see below), whose sum is σ = 134517600. Its totient is φ = 13418496.

The previous prime is 45312373. The next prime is 45312391. The reversal of 45312384 is 48321354.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (11520) is a multiple of the sum of its prime divisors (360).

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, 144612 + ... + 144924.

Almost surely, 2^45312384 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 45312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67258800).

45312384 is an abundant number, since it is smaller than the sum of its proper divisors (89205216).

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

45312384 is a wasteful number, since it uses less digits than its factorization.

45312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 45312384 is about 6731.4473926489. The cubic root of 45312384 is about 356.5104825628.

The spelling of 45312384 in words is "forty-five million, three hundred twelve thousand, three hundred eighty-four".