45603360 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 11051520.

The previous prime is 45603347. The next prime is 45603377. The reversal of 45603360 is 6330654.

45603360 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 (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14401 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^45603360 is an apocalyptic number.

45603360 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 45603360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

45603360 is an abundant number, since it is smaller than the sum of its proper divisors (124224480).

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

45603360 is a wasteful number, since it uses less digits than its factorization.

45603360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 45603360 is about 6753.0259883996. The cubic root of 45603360 is about 357.2719722117.

The spelling of 45603360 in words is "forty-five million, six hundred three thousand, three hundred sixty".