45024400 has 60 divisors (see below), whose sum is σ = 111691264. Its totient is φ = 17424000.

The previous prime is 45024389. The next prime is 45024491. The reversal of 45024400 is 442054.

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, 10585 + ... + 14215.

Almost surely, 2^45024400 is an apocalyptic number.

45024400 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 45024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55845632).

45024400 is an abundant number, since it is smaller than the sum of its proper divisors (66666864).

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

45024400 is a wasteful number, since it uses less digits than its factorization.

45024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3669 counting only the distinct ones).

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

The square root of 45024400 is about 6710.0223546572. The cubic root of 45024400 is about 355.7536063862.

Adding to 45024400 its reverse (442054), we get a palindrome (45466454).

The spelling of 45024400 in words is "forty-five million, twenty-four thousand, four hundred".