450288000 has 384 divisors, whose sum is σ = 1675533600. Its totient is φ = 115814400.

The previous prime is 450287939. The next prime is 450288019. The reversal of 450288000 is 882054.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7631971 + ... + 7632029.

Almost surely, 2^450288000 is an apocalyptic number.

450288000 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 450288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837766800).

450288000 is an abundant number, since it is smaller than the sum of its proper divisors (1225245600).

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

450288000 is a wasteful number, since it uses less digits than its factorization.

450288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 450288000 is about 21219.9905749272. The cubic root of 450288000 is about 766.4728768759.

The spelling of 450288000 in words is "four hundred fifty million, two hundred eighty-eight thousand".