450463640 has 64 divisors (see below), whose sum is σ = 1114953120. Its totient is φ = 163785600.

The previous prime is 450463639. The next prime is 450463649. The reversal of 450463640 is 46364054.

It is a junction number, because it is equal to n+sod(n) for n = 450463597 and 450463606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450463649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49010 + ... + 57470.

Almost surely, 2^450463640 is an apocalyptic number.

450463640 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 450463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557476560).

450463640 is an abundant number, since it is smaller than the sum of its proper divisors (664489480).

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

450463640 is a wasteful number, since it uses less digits than its factorization.

450463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 450463640 is about 21224.1287218109. The cubic root of 450463640 is about 766.5725211007.

The spelling of 450463640 in words is "four hundred fifty million, four hundred sixty-three thousand, six hundred forty".