45905600 has 84 divisors (see below), whose sum is σ = 121700544. Its totient is φ = 16942080.

The previous prime is 45905581. The next prime is 45905603. The reversal of 45905600 is 650954.

45905600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45905600² = 4214648222720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45905603) 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 11 ways as a sum of consecutive naturals, for example, 19697 + ... + 21903.

It is an arithmetic number, because the mean of its divisors is an integer number (1448816).

Almost surely, 2^45905600 is an apocalyptic number.

45905600 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 45905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60850272).

45905600 is an abundant number, since it is smaller than the sum of its proper divisors (75794944).

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

45905600 is a wasteful number, since it uses less digits than its factorization.

45905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 45905600 is about 6775.3671487234. The cubic root of 45905600 is about 358.0595180010.

The spelling of 45905600 in words is "forty-five million, nine hundred five thousand, six hundred".