45111400 has 48 divisors (see below), whose sum is σ = 106689600. Its totient is φ = 17734080.

The previous prime is 45111383. The next prime is 45111403. The reversal of 45111400 is 411154.

It is not an unprimeable number, because it can be changed into a prime (45111403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9889 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (2222700).

Almost surely, 2^45111400 is an apocalyptic number.

45111400 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 45111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53344800).

45111400 is an abundant number, since it is smaller than the sum of its proper divisors (61578200).

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

45111400 is a wasteful number, since it uses less digits than its factorization.

45111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 45111400 is about 6716.5020658078. The cubic root of 45111400 is about 355.9825981478.

Adding to 45111400 its reverse (411154), we get a palindrome (45522554).

The spelling of 45111400 in words is "forty-five million, one hundred eleven thousand, four hundred".