450440640 has 336 divisors, whose sum is σ = 1707477408. Its totient is φ = 108306432.

The previous prime is 450440611. The next prime is 450440651. The reversal of 450440640 is 46044054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984207 + ... + 1984433.

It is an arithmetic number, because the mean of its divisors is an integer number (5081778).

Almost surely, 2^450440640 is an apocalyptic number.

450440640 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 450440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704).

450440640 is an abundant number, since it is smaller than the sum of its proper divisors (1257036768).

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

450440640 is a wasteful number, since it uses less digits than its factorization.

450440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 450440640 is about 21223.5868787536. The cubic root of 450440640 is about 766.5594741964.

Adding to 450440640 its reverse (46044054), we get a palindrome (496484694).

The spelling of 450440640 in words is "four hundred fifty million, four hundred forty thousand, six hundred forty".