450040968 has 128 divisors (see below), whose sum is σ = 1353340800. Its totient is φ = 137749248.

The previous prime is 450040963. The next prime is 450040979. The reversal of 450040968 is 869040054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (450040963) 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, 822471 + ... + 823017.

It is an arithmetic number, because the mean of its divisors is an integer number (10572975).

Almost surely, 2^450040968 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 450040968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676670400).

450040968 is an abundant number, since it is smaller than the sum of its proper divisors (903299832).

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

450040968 is a wasteful number, since it uses less digits than its factorization.

450040968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 450040968 is about 21214.1690386402. The cubic root of 450040968 is about 766.3326866248.

The spelling of 450040968 in words is "four hundred fifty million, forty thousand, nine hundred sixty-eight".