45240400 has 60 divisors (see below), whose sum is σ = 115100892. Its totient is φ = 17029120.

The previous prime is 45240397. The next prime is 45240413. The reversal of 45240400 is 404254.

It can be written as a sum of positive squares in 6 ways, for example, as 4177936 + 41062464 = 2044^2 + 6408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3474 + ... + 10126.

Almost surely, 2^45240400 is an apocalyptic number.

45240400 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 45240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57550446).

45240400 is an abundant number, since it is smaller than the sum of its proper divisors (69860492).

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

45240400 is a wasteful number, since it uses less digits than its factorization.

45240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 45240400 is about 6726.0984233060. The cubic root of 45240400 is about 356.3215963622.

Adding to 45240400 its reverse (404254), we get a palindrome (45644654).

The spelling of 45240400 in words is "forty-five million, two hundred forty thousand, four hundred".