450230400 has 336 divisors, whose sum is σ = 1676192010. Its totient is φ = 119439360.

The previous prime is 450230399. The next prime is 450230413. The reversal of 450230400 is 4032054.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 276623424 + 173606976 = 16632^2 + 13176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2332704 + ... + 2332896.

Almost surely, 2^450230400 is an apocalyptic number.

450230400 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 450230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838096005).

450230400 is an abundant number, since it is smaller than the sum of its proper divisors (1225961610).

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

450230400 is an equidigital number, since it uses as much as digits as its factorization.

450230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 450230400 is about 21218.6333207396. The cubic root of 450230400 is about 766.4401935560.

Adding to 450230400 its reverse (4032054), we get a palindrome (454262454).

The spelling of 450230400 in words is "four hundred fifty million, two hundred thirty thousand, four hundred".