450288400 has 45 divisors (see below), whose sum is σ = 1082838463. Its totient is φ = 179945600.

The previous prime is 450288383. The next prime is 450288407. The reversal of 450288400 is 4882054.

The square root of 450288400 is 21220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 450118656 = 412^2 + 21216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450288407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 423870 + ... + 424930.

Almost surely, 2^450288400 is an apocalyptic number.

450288400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

450288400 is the 21220-th square number.

It is an amenable number.

450288400 is an abundant number, since it is smaller than the sum of its proper divisors (632550063).

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

450288400 is an equidigital number, since it uses as much as digits as its factorization.

450288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1068 counting only the distinct ones).

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

The cubic root of 450288400 is about 766.4731038337.

The spelling of 450288400 in words is "four hundred fifty million, two hundred eighty-eight thousand, four hundred".