431404240 has 40 divisors (see below), whose sum is σ = 1062019080. Its totient is φ = 162410496.

The previous prime is 431404217. The next prime is 431404241. The reversal of 431404240 is 42404134.

It can be written as a sum of positive squares in 4 ways, for example, as 80066704 + 351337536 = 8948^2 + 18744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×431404240² = 372219236579955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431404241) 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, 157245 + ... + 159964.

It is an arithmetic number, because the mean of its divisors is an integer number (26550477).

Almost surely, 2^431404240 is an apocalyptic number.

431404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431404240 is an abundant number, since it is smaller than the sum of its proper divisors (630614840).

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

431404240 is a wasteful number, since it uses less digits than its factorization.

431404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317239 (or 317233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 431404240 is about 20770.2729880953. The cubic root of 431404240 is about 755.6049651784.

Adding to 431404240 its reverse (42404134), we get a palindrome (473808374).

The spelling of 431404240 in words is "four hundred thirty-one million, four hundred four thousand, two hundred forty".