431788656 has 160 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 126508032.

The previous prime is 431788639. The next prime is 431788663. The reversal of 431788656 is 656887134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936161 + ... + 1936383.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2^431788656 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 431788656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

431788656 is an abundant number, since it is smaller than the sum of its proper divisors (828130704).

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

431788656 is a wasteful number, since it uses less digits than its factorization.

431788656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 431788656 is about 20779.5249223845. The cubic root of 431788656 is about 755.8293335531.

The spelling of 431788656 in words is "four hundred thirty-one million, seven hundred eighty-eight thousand, six hundred fifty-six".