433490016 has 96 divisors (see below), whose sum is σ = 1250000640. Its totient is φ = 130927104.

The previous prime is 433490011. The next prime is 433490017. The reversal of 433490016 is 610094334.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433490011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36786 + ... + 47118.

It is an arithmetic number, because the mean of its divisors is an integer number (13020840).

Almost surely, 2^433490016 is an apocalyptic number.

433490016 is a gapful number since it is divisible by the number (46) 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 433490016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625000320).

433490016 is an abundant number, since it is smaller than the sum of its proper divisors (816510624).

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

433490016 is a wasteful number, since it uses less digits than its factorization.

433490016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 433490016 is about 20820.4230504570. The cubic root of 433490016 is about 756.8207541534.

The spelling of 433490016 in words is "four hundred thirty-three million, four hundred ninety thousand, sixteen".