45543960 has 384 divisors, whose sum is σ = 194088960. Its totient is φ = 8985600.

The previous prime is 45543943. The next prime is 45543961. The reversal of 45543960 is 6934554.

It is a happy number.

45543960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45543961) 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 95 ways as a sum of consecutive naturals, for example, 859294 + ... + 859346.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^45543960 is an apocalyptic number.

45543960 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 45543960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044480).

45543960 is an abundant number, since it is smaller than the sum of its proper divisors (148545000).

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

45543960 is a wasteful number, since it uses less digits than its factorization.

45543960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45543960 is about 6748.6265269312. The cubic root of 45543960 is about 357.1167849920.

The spelling of 45543960 in words is "forty-five million, five hundred forty-three thousand, nine hundred sixty".