431434240 has 80 divisors (see below), whose sum is σ = 1043361792. Its totient is φ = 171085824.

The previous prime is 431434231. The next prime is 431434243. The reversal of 431434240 is 42434134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×431434240² = 372271006888755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431434243) 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, 324457 + ... + 325783.

Almost surely, 2^431434240 is an apocalyptic number.

431434240 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 431434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521680896).

431434240 is an abundant number, since it is smaller than the sum of its proper divisors (611927552).

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

431434240 is a wasteful number, since it uses less digits than its factorization.

431434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 431434240 is about 20770.9951615227. The cubic root of 431434240 is about 755.6224797826.

Adding to 431434240 its reverse (42434134), we get a palindrome (473868374).

The spelling of 431434240 in words is "four hundred thirty-one million, four hundred thirty-four thousand, two hundred forty".