450820080 has 200 divisors, whose sum is σ = 1620432000. Its totient is φ = 116024832.

The previous prime is 450820039. The next prime is 450820091. The reversal of 450820080 is 80028054.

450820080 is a `hidden beast` number, since 450 + 8 + 200 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186721 + ... + 189119.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^450820080 is an apocalyptic number.

450820080 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 450820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216000).

450820080 is an abundant number, since it is smaller than the sum of its proper divisors (1169611920).

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

450820080 is a wasteful number, since it uses less digits than its factorization.

450820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 450820080 is about 21232.5241080753. The cubic root of 450820080 is about 766.7746573358.

The spelling of 450820080 in words is "four hundred fifty million, eight hundred twenty thousand, eighty".