450142968 has 64 divisors (see below), whose sum is σ = 1239004800. Its totient is φ = 135146880.

The previous prime is 450142897. The next prime is 450142993. The reversal of 450142968 is 869241054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20955 + ... + 36597.

It is an arithmetic number, because the mean of its divisors is an integer number (19359450).

Almost surely, 2^450142968 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 450142968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619502400).

450142968 is an abundant number, since it is smaller than the sum of its proper divisors (788861832).

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

450142968 is a wasteful number, since it uses less digits than its factorization.

450142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 450142968 is about 21216.5729560643. The cubic root of 450142968 is about 766.3905776725.

The spelling of 450142968 in words is "four hundred fifty million, one hundred forty-two thousand, nine hundred sixty-eight".