450657680 has 80 divisors (see below), whose sum is σ = 1182513600. Its totient is φ = 158215680.

The previous prime is 450657679. The next prime is 450657703. The reversal of 450657680 is 86756054.

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

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, 16691 + ... + 34349.

It is an arithmetic number, because the mean of its divisors is an integer number (14781420).

Almost surely, 2^450657680 is an apocalyptic number.

450657680 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 450657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591256800).

450657680 is an abundant number, since it is smaller than the sum of its proper divisors (731855920).

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

450657680 is a wasteful number, since it uses less digits than its factorization.

450657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17712 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 450657680 is about 21228.6994420289. The cubic root of 450657680 is about 766.6825739191.

The spelling of 450657680 in words is "four hundred fifty million, six hundred fifty-seven thousand, six hundred eighty".