450566010 has 64 divisors (see below), whose sum is σ = 1204191360. Its totient is φ = 119882880.

The previous prime is 450565991. The next prime is 450566033. The reversal of 450566010 is 10665054.

It is a happy number.

450566010 is a `hidden beast` number, since 4 + 5 + 0 + 56 + 601 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139069 + ... + 142271.

It is an arithmetic number, because the mean of its divisors is an integer number (18815490).

Almost surely, 2^450566010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450566010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602095680).

450566010 is an abundant number, since it is smaller than the sum of its proper divisors (753625350).

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

450566010 is a wasteful number, since it uses less digits than its factorization.

450566010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 450566010 is about 21226.5402268010. The cubic root of 450566010 is about 766.6305857836.

The spelling of 450566010 in words is "four hundred fifty million, five hundred sixty-six thousand, ten".