45090400 has 72 divisors (see below), whose sum is σ = 111086640. Its totient is φ = 17871360.

The previous prime is 45090391. The next prime is 45090403. The reversal of 45090400 is 409054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45090403) 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, 125421 + ... + 125779.

It is an arithmetic number, because the mean of its divisors is an integer number (1542870).

Almost surely, 2^45090400 is an apocalyptic number.

45090400 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 45090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55543320).

45090400 is an abundant number, since it is smaller than the sum of its proper divisors (65996240).

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

45090400 is a wasteful number, since it uses less digits than its factorization.

45090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45090400 is about 6714.9385700839. The cubic root of 45090400 is about 355.9273512489.

Adding to 45090400 its reverse (409054), we get a palindrome (45499454).

The spelling of 45090400 in words is "forty-five million, ninety thousand, four hundred".