45488200 has 48 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 17958720.

The previous prime is 45488197. The next prime is 45488203. The reversal of 45488200 is 288454.

It is an interprime number because it is at equal distance from previous prime (45488197) and next prime (45488203).

It is not an unprimeable number, because it can be changed into a prime (45488203) 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, 14361 + ... + 17239.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2^45488200 is an apocalyptic number.

45488200 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 45488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

45488200 is an abundant number, since it is smaller than the sum of its proper divisors (61647800).

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

45488200 is a wasteful number, since it uses less digits than its factorization.

45488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 45488200 is about 6744.4940507054. The cubic root of 45488200 is about 356.9709847295.

The spelling of 45488200 in words is "forty-five million, four hundred eighty-eight thousand, two hundred".