433948416 has 144 divisors (see below), whose sum is σ = 1301357568. Its totient is φ = 127180800.

The previous prime is 433948397. The next prime is 433948421. The reversal of 433948416 is 614849334.

It is a super-2 number, since 2×433948416² = 376622455497818112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261060 + ... + 262716.

Almost surely, 2^433948416 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 433948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650678784).

433948416 is an abundant number, since it is smaller than the sum of its proper divisors (867409152).

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

433948416 is a wasteful number, since it uses less digits than its factorization.

433948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1704 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 433948416 is about 20831.4285635911. The cubic root of 433948416 is about 757.0874303592.

It can be divided in two parts, 433 and 948416, that added together give a palindrome (948849).

The spelling of 433948416 in words is "four hundred thirty-three million, nine hundred forty-eight thousand, four hundred sixteen".