450032646 has 64 divisors (see below), whose sum is σ = 1073834496. Its totient is φ = 123052800.

The previous prime is 450032633. The next prime is 450032659. The reversal of 450032646 is 646230054.

It is an interprime number because it is at equal distance from previous prime (450032633) and next prime (450032659).

It is a super-2 number, since 2×450032646² = 405058764931522632, which contains 22 as substring.

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, 88801 + ... + 93731.

It is an arithmetic number, because the mean of its divisors is an integer number (16778664).

Almost surely, 2^450032646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450032646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536917248).

450032646 is an abundant number, since it is smaller than the sum of its proper divisors (623801850).

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

450032646 is a wasteful number, since it uses less digits than its factorization.

450032646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 450032646 is about 21213.9728952405. The cubic root of 450032646 is about 766.3279630104.

The spelling of 450032646 in words is "four hundred fifty million, thirty-two thousand, six hundred forty-six".