45442200 has 96 divisors (see below), whose sum is σ = 143629200. Its totient is φ = 11880960.

The previous prime is 45442157. The next prime is 45442277. The reversal of 45442200 is 224454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31086 + ... + 32514.

Almost surely, 2^45442200 is an apocalyptic number.

45442200 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 45442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71814600).

45442200 is an abundant number, since it is smaller than the sum of its proper divisors (98187000).

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

45442200 is a wasteful number, since it uses less digits than its factorization.

45442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 45442200 is about 6741.0829990440. The cubic root of 45442200 is about 356.8506150252.

Adding to 45442200 its reverse (224454), we get a palindrome (45666654).

The spelling of 45442200 in words is "forty-five million, four hundred forty-two thousand, two hundred".