450631512 has 160 divisors (see below), whose sum is σ = 1407423600. Its totient is φ = 133871616.

The previous prime is 450631507. The next prime is 450631513. The reversal of 450631512 is 215136054.

450631512 is a `hidden beast` number, since 4 + 506 + 3 + 151 + 2 = 666.

It is a super-2 number, since 2×450631512² = 406137519214812288, which contains 22 as substring.

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 (450631513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208228 + ... + 210380.

Almost surely, 2^450631512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450631512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703711800).

450631512 is an abundant number, since it is smaller than the sum of its proper divisors (956792088).

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

450631512 is a wasteful number, since it uses less digits than its factorization.

450631512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2194 counting only the distinct ones).

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

The square root of 450631512 is about 21228.0830976327. The cubic root of 450631512 is about 766.6677341720.

Adding to 450631512 its reverse (215136054), we get a palindrome (665767566).

The spelling of 450631512 in words is "four hundred fifty million, six hundred thirty-one thousand, five hundred twelve".