45145400 has 48 divisors (see below), whose sum is σ = 106968600. Its totient is φ = 17713280.

The previous prime is 45145369. The next prime is 45145403. The reversal of 45145400 is 454154.

45145400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45145403) 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 11 ways as a sum of consecutive naturals, for example, 8471 + ... + 12729.

Almost surely, 2^45145400 is an apocalyptic number.

45145400 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 45145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53484300).

45145400 is an abundant number, since it is smaller than the sum of its proper divisors (61823200).

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

45145400 is a wasteful number, since it uses less digits than its factorization.

45145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 45145400 is about 6719.0326684724. The cubic root of 45145400 is about 356.0720091679.

Adding to 45145400 its reverse (454154), we get a palindrome (45599554).

The spelling of 45145400 in words is "forty-five million, one hundred forty-five thousand, four hundred".