45544800 has 144 divisors (see below), whose sum is σ = 169489152. Its totient is φ = 10406400.

The previous prime is 45544787. The next prime is 45544801. The reversal of 45544800 is 844554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45544801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15445 + ... + 18155.

It is an arithmetic number, because the mean of its divisors is an integer number (1177008).

Almost surely, 2^45544800 is an apocalyptic number.

45544800 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 45544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84744576).

45544800 is an abundant number, since it is smaller than the sum of its proper divisors (123944352).

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

45544800 is a wasteful number, since it uses less digits than its factorization.

45544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45544800 is about 6748.6887615299. The cubic root of 45544800 is about 357.1189804990.

The spelling of 45544800 in words is "forty-five million, five hundred forty-four thousand, eight hundred".