431080 has 32 divisors (see below), whose sum is σ = 1045800. Its totient is φ = 158976.

The previous prime is 431077. The next prime is 431083. The reversal of 431080 is 80134.

431080 = T₂₅₁ + T₂₅₂ + ... + T₂₆₃.

It is an interprime number because it is at equal distance from previous prime (431077) and next prime (431083).

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 145924 = 534^2 + 382^2 .

It is not an unprimeable number, because it can be changed into a prime (431083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 934.

2⁴³¹⁰⁸⁰ is an apocalyptic number.

431080 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 431080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522900).

431080 is an abundant number, since it is smaller than the sum of its proper divisors (614720).

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

431080 is a wasteful number, since it uses less digits than its factorization.

431080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 431080 is about 656.5668282818. The cubic root of 431080 is about 75.5415615503.

The spelling of 431080 in words is "four hundred thirty-one thousand, eighty".