450649680 has 80 divisors (see below), whose sum is σ = 1504487040. Its totient is φ = 110928384.

The previous prime is 450649669. The next prime is 450649687. The reversal of 450649680 is 86946054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450649687) 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, 69100 + ... + 75339.

It is an arithmetic number, because the mean of its divisors is an integer number (18806088).

Almost surely, 2^450649680 is an apocalyptic number.

450649680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450649680 is an abundant number, since it is smaller than the sum of its proper divisors (1053837360).

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

450649680 is a wasteful number, since it uses less digits than its factorization.

450649680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144468 (or 144462 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 450649680 is about 21228.5110170261. The cubic root of 450649680 is about 766.6780372185.

The spelling of 450649680 in words is "four hundred fifty million, six hundred forty-nine thousand, six hundred eighty".