45414400 has 72 divisors (see below), whose sum is σ = 112727160. Its totient is φ = 18145280.

The previous prime is 45414373. The next prime is 45414401. The reversal of 45414400 is 441454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50757 + ... + 51643.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^45414400 is an apocalyptic number.

45414400 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 45414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363580).

45414400 is an abundant number, since it is smaller than the sum of its proper divisors (67312760).

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

45414400 is an equidigital number, since it uses as much as digits as its factorization.

45414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 45414400 is about 6739.0207003689. The cubic root of 45414400 is about 356.7778304712. Note that the first 3 decimals are identical.

Adding to 45414400 its reverse (441454), we get a palindrome (45855854).

The spelling of 45414400 in words is "forty-five million, four hundred fourteen thousand, four hundred".