450026280 has 448 divisors, whose sum is σ = 1756494720. Its totient is φ = 102643200.

The previous prime is 450026279. The next prime is 450026281. The reversal of 450026280 is 82620054.

It is an interprime number because it is at equal distance from previous prime (450026279) and next prime (450026281).

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

It is not an unprimeable number, because it can be changed into a prime (450026281) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7377450 + ... + 7377510.

Almost surely, 2^450026280 is an apocalyptic number.

450026280 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 450026280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878247360).

450026280 is an abundant number, since it is smaller than the sum of its proper divisors (1306468440).

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

450026280 is a wasteful number, since it uses less digits than its factorization.

450026280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450026280 is about 21213.8228520934. The cubic root of 450026280 is about 766.3243495935.

The spelling of 450026280 in words is "four hundred fifty million, twenty-six thousand, two hundred eighty".