45837600 has 144 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 12006400.

The previous prime is 45837587. The next prime is 45837601. The reversal of 45837600 is 673854.

45837600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45837601) 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 23 ways as a sum of consecutive naturals, for example, 170266 + ... + 170534.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^45837600 is an apocalyptic number.

45837600 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 45837600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

45837600 is an abundant number, since it is smaller than the sum of its proper divisors (106027680).

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

45837600 is a wasteful number, since it uses less digits than its factorization.

45837600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45837600 is about 6770.3471107470. The cubic root of 45837600 is about 357.8826326872.

The spelling of 45837600 in words is "forty-five million, eight hundred thirty-seven thousand, six hundred".