450655680 has 224 divisors, whose sum is σ = 1556674560. Its totient is φ = 110039040.

The previous prime is 450655663. The next prime is 450655697. The reversal of 450655680 is 86556054.

It is an interprime number because it is at equal distance from previous prime (450655663) and next prime (450655697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565042 + ... + 565838.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^450655680 is an apocalyptic number.

450655680 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 450655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778337280).

450655680 is an abundant number, since it is smaller than the sum of its proper divisors (1106018880).

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

450655680 is a wasteful number, since it uses less digits than its factorization.

450655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 450655680 is about 21228.6523359350. The cubic root of 450655680 is about 766.6814397489.

The spelling of 450655680 in words is "four hundred fifty million, six hundred fifty-five thousand, six hundred eighty".