450805248 has 180 divisors, whose sum is σ = 1378201968. Its totient is φ = 141834240.

The previous prime is 450805211. The next prime is 450805259. The reversal of 450805248 is 842508054.

450805248 is a `hidden beast` number, since 4 + 50 + 80 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1663353 + ... + 1663623.

Almost surely, 2^450805248 is an apocalyptic number.

450805248 is a gapful number since it is divisible by the number (48) 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 450805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689100984).

450805248 is an abundant number, since it is smaller than the sum of its proper divisors (927396720).

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

450805248 is a wasteful number, since it uses less digits than its factorization.

450805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 450805248 is about 21232.1748297248. The cubic root of 450805248 is about 766.7662482705.

The spelling of 450805248 in words is "four hundred fifty million, eight hundred five thousand, two hundred forty-eight".