433402240 has 64 divisors (see below), whose sum is σ = 1043876160. Its totient is φ = 172060672.

The previous prime is 433402231. The next prime is 433402243. The reversal of 433402240 is 42204334.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433402243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85209 + ... + 90151.

It is an arithmetic number, because the mean of its divisors is an integer number (16310565).

Almost surely, 2^433402240 is an apocalyptic number.

433402240 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 433402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521938080).

433402240 is an abundant number, since it is smaller than the sum of its proper divisors (610473920).

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

433402240 is a wasteful number, since it uses less digits than its factorization.

433402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 433402240 is about 20818.3150134683. The cubic root of 433402240 is about 756.7696686379.

Adding to 433402240 its reverse (42204334), we get a palindrome (475606574).

The spelling of 433402240 in words is "four hundred thirty-three million, four hundred two thousand, two hundred forty".