431633664 has 288 divisors, whose sum is σ = 1593338880. Its totient is φ = 111974400.

The previous prime is 431633641. The next prime is 431633669. The reversal of 431633664 is 466336134.

431633664 is a `hidden beast` number, since 4 + 316 + 336 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (431633669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531819 + ... + 532629.

Almost surely, 2^431633664 is an apocalyptic number.

431633664 is a gapful number since it is divisible by the number (44) 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 431633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796669440).

431633664 is an abundant number, since it is smaller than the sum of its proper divisors (1161705216).

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

431633664 is a wasteful number, since it uses less digits than its factorization.

431633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 834 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 431633664 is about 20775.7951472380. The cubic root of 431633664 is about 755.7388868974.

Adding to 431633664 its reverse (466336134), we get a palindrome (897969798).

The spelling of 431633664 in words is "four hundred thirty-one million, six hundred thirty-three thousand, six hundred sixty-four".