433490560 has 48 divisors (see below), whose sum is σ = 1037574090. Its totient is φ = 173185536.

The previous prime is 433490537. The next prime is 433490573. The reversal of 433490560 is 65094334.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 390141504 + 43349056 = 19752^2 + 6584^2 .

It is a super-2 number, since 2×433490560² = 375828131218227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 526309 + ... + 527131.

Almost surely, 2^433490560 is an apocalyptic number.

433490560 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 433490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518787045).

433490560 is an abundant number, since it is smaller than the sum of its proper divisors (604083530).

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

433490560 is an frugal number, since it uses more digits than its factorization.

433490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 433490560 is about 20820.4361145486. The cubic root of 433490560 is about 756.8210707392.

The spelling of 433490560 in words is "four hundred thirty-three million, four hundred ninety thousand, five hundred sixty".