450075276 has 72 divisors (see below), whose sum is σ = 1305018624. Its totient is φ = 128118240.

The previous prime is 450075239. The next prime is 450075341. The reversal of 450075276 is 672570054.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450075276.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68161 + ... + 74471.

Almost surely, 2^450075276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450075276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652509312).

450075276 is an abundant number, since it is smaller than the sum of its proper divisors (854943348).

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

450075276 is a wasteful number, since it uses less digits than its factorization.

450075276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 450075276 is about 21214.9776337379. The cubic root of 450075276 is about 766.3521594251.

The spelling of 450075276 in words is "four hundred fifty million, seventy-five thousand, two hundred seventy-six".