433412496 has 120 divisors (see below), whose sum is σ = 1392961440. Its totient is φ = 124416000.

The previous prime is 433412491. The next prime is 433412509. The reversal of 433412496 is 694214334.

It is a happy number.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 433412496.

It is not an unprimeable number, because it can be changed into a prime (433412491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22896 + ... + 37296.

It is an arithmetic number, because the mean of its divisors is an integer number (11608012).

Almost surely, 2^433412496 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 433412496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696480720).

433412496 is an abundant number, since it is smaller than the sum of its proper divisors (959548944).

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

433412496 is a wasteful number, since it uses less digits than its factorization.

433412496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14445 (or 14436 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 433412496 is about 20818.5613335792. The cubic root of 433412496 is about 756.7756379722.

The spelling of 433412496 in words is "four hundred thirty-three million, four hundred twelve thousand, four hundred ninety-six".