431134560 has 144 divisors (see below), whose sum is σ = 1481394096. Its totient is φ = 114177024.

The previous prime is 431134553. The next prime is 431134621. The reversal of 431134560 is 65431134.

431134560 is a `hidden beast` number, since 4 + 311 + 345 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225127 + ... + 227033.

It is an arithmetic number, because the mean of its divisors is an integer number (10287459).

Almost surely, 2^431134560 is an apocalyptic number.

431134560 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 431134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740697048).

431134560 is an abundant number, since it is smaller than the sum of its proper divisors (1050259536).

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

431134560 is a wasteful number, since it uses less digits than its factorization.

431134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 431134560 is about 20763.7800026874. The cubic root of 431134560 is about 755.4474840941.

Adding to 431134560 its reverse (65431134), we get a palindrome (496565694).

The spelling of 431134560 in words is "four hundred thirty-one million, one hundred thirty-four thousand, five hundred sixty".