45312960 has 224 divisors, whose sum is σ = 179661312. Its totient is φ = 9400320.

The previous prime is 45312947. The next prime is 45312961. The reversal of 45312960 is 6921354.

45312960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45312961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73614 + ... + 74226.

Almost surely, 2^45312960 is an apocalyptic number.

45312960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89830656).

45312960 is an abundant number, since it is smaller than the sum of its proper divisors (134348352).

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

45312960 is a wasteful number, since it uses less digits than its factorization.

45312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 45312960 is about 6731.4901767736. The cubic root of 45312960 is about 356.5119931812.

The spelling of 45312960 in words is "forty-five million, three hundred twelve thousand, nine hundred sixty".