450573000 has 128 divisors (see below), whose sum is σ = 1454544000. Its totient is φ = 115987200.

The previous prime is 450572957. The next prime is 450573007. The reversal of 450573000 is 375054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (450573007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84411 + ... + 89589.

It is an arithmetic number, because the mean of its divisors is an integer number (11363625).

Almost surely, 2^450573000 is an apocalyptic number.

450573000 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 450573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727272000).

450573000 is an abundant number, since it is smaller than the sum of its proper divisors (1003971000).

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

450573000 is a wasteful number, since it uses less digits than its factorization.

450573000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 450573000 is about 21226.7048785251. The cubic root of 450573000 is about 766.6345502194.

The spelling of 450573000 in words is "four hundred fifty million, five hundred seventy-three thousand".