45759600 has 240 divisors, whose sum is σ = 172211200. Its totient is φ = 11508480.

The previous prime is 45759583. The next prime is 45759601. The reversal of 45759600 is 695754.

45759600 is a `hidden beast` number, since 45 + 7 + 5 + 9 + 600 = 666.

45759600 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 (240).

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 (45759601) 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 47 ways as a sum of consecutive naturals, for example, 205089 + ... + 205311.

Almost surely, 2^45759600 is an apocalyptic number.

45759600 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 45759600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86105600).

45759600 is an abundant number, since it is smaller than the sum of its proper divisors (126451600).

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

45759600 is a wasteful number, since it uses less digits than its factorization.

45759600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45759600 is about 6764.5842444307. The cubic root of 45759600 is about 357.6795192738.

The spelling of 45759600 in words is "forty-five million, seven hundred fifty-nine thousand, six hundred".