450048000 has 208 divisors, whose sum is σ = 1502688096. Its totient is φ = 119603200.

The previous prime is 450047981. The next prime is 450048007. The reversal of 450048000 is 840054.

It is not an unprimeable number, because it can be changed into a prime (450048007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535854 + ... + 1536146.

It is an arithmetic number, because the mean of its divisors is an integer number (7224462).

Almost surely, 2^450048000 is an apocalyptic number.

450048000 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 450048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751344048).

450048000 is an abundant number, since it is smaller than the sum of its proper divisors (1052640096).

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

450048000 is an equidigital number, since it uses as much as digits as its factorization.

450048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 450048000 is about 21214.3347762780. The cubic root of 450048000 is about 766.3366779824.

Adding to 450048000 its reverse (840054), we get a palindrome (450888054).

It can be divided in two parts, 4500 and 48000, that multiplied together give a cube (216000000 = 600³).

The spelling of 450048000 in words is "four hundred fifty million, forty-eight thousand".