431564448 has 192 divisors, whose sum is σ = 1409280768. Its totient is φ = 112803840.

The previous prime is 431564429. The next prime is 431564449. The reversal of 431564448 is 844465134.

It is not an unprimeable number, because it can be changed into a prime (431564449) by changing a digit.

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, 422178 + ... + 423198.

It is an arithmetic number, because the mean of its divisors is an integer number (7340004).

Almost surely, 2^431564448 is an apocalyptic number.

431564448 is a gapful number since it is divisible by the number (48) 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 431564448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

431564448 is an abundant number, since it is smaller than the sum of its proper divisors (977716320).

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

431564448 is a wasteful number, since it uses less digits than its factorization.

431564448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 431564448 is about 20774.1292958333. The cubic root of 431564448 is about 755.6984884273.

The spelling of 431564448 in words is "four hundred thirty-one million, five hundred sixty-four thousand, four hundred forty-eight".