433904640 has 352 divisors, whose sum is σ = 1559912256. Its totient is φ = 102236160.

The previous prime is 433904629. The next prime is 433904677. The reversal of 433904640 is 46409334.

It is a super-2 number, since 2×433904640² = 376546473227059200, 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 31 ways as a sum of consecutive naturals, for example, 8186854 + ... + 8186906.

Almost surely, 2^433904640 is an apocalyptic number.

433904640 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 433904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779956128).

433904640 is an abundant number, since it is smaller than the sum of its proper divisors (1126007616).

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

433904640 is a wasteful number, since it uses less digits than its factorization.

433904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 433904640 is about 20830.3778170248. The cubic root of 433904640 is about 757.0619715929.

The spelling of 433904640 in words is "four hundred thirty-three million, nine hundred four thousand, six hundred forty".