431364096 has 192 divisors, whose sum is σ = 1326780000. Its totient is φ = 138313728.

The previous prime is 431364079. The next prime is 431364097. The reversal of 431364096 is 690463134.

431364096 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 431364096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431364097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603450 + ... + 1603718.

Almost surely, 2^431364096 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 431364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663390000).

431364096 is an abundant number, since it is smaller than the sum of its proper divisors (895415904).

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

431364096 is a wasteful number, since it uses less digits than its factorization.

431364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 431364096 is about 20769.3065844770. The cubic root of 431364096 is about 755.5815270324.

The spelling of 431364096 in words is "four hundred thirty-one million, three hundred sixty-four thousand, ninety-six".