45681300 has 144 divisors (see below), whose sum is σ = 167905920. Its totient is φ = 10437120.

The previous prime is 45681299. The next prime is 45681313. The reversal of 45681300 is 318654.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17692 + ... + 20108.

Almost surely, 2^45681300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952960).

45681300 is an abundant number, since it is smaller than the sum of its proper divisors (122224620).

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

45681300 is a wasteful number, since it uses less digits than its factorization.

45681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45681300 is about 6758.7942711700. The cubic root of 45681300 is about 357.4753923760.

Adding to 45681300 its reverse (318654), we get a palindrome (45999954).

The spelling of 45681300 in words is "forty-five million, six hundred eighty-one thousand, three hundred".