450576000 has 512 divisors, whose sum is σ = 1909440000. Its totient is φ = 102297600.

The previous prime is 450575989. The next prime is 450576001. The reversal of 450576000 is 675054.

450576000 is a `hidden beast` number, since 4 + 5 + 0 + 57 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450576001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023926 + ... + 3024074.

It is an arithmetic number, because the mean of its divisors is an integer number (3729375).

Almost surely, 2^450576000 is an apocalyptic number.

450576000 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 450576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954720000).

450576000 is an abundant number, since it is smaller than the sum of its proper divisors (1458864000).

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

450576000 is a wasteful number, since it uses less digits than its factorization.

450576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 450576000 is about 21226.7755441094. The cubic root of 450576000 is about 766.6362516814.

The spelling of 450576000 in words is "four hundred fifty million, five hundred seventy-six thousand".