431346240 has 336 divisors, whose sum is σ = 1642573296. Its totient is φ = 103219200.

The previous prime is 431346221. The next prime is 431346257. The reversal of 431346240 is 42643134.

431346240 is a `hidden beast` number, since 4 + 3 + 1 + 34 + 624 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84492864 + 346853376 = 9192^2 + 18624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534900 + ... + 1535180.

It is an arithmetic number, because the mean of its divisors is an integer number (4888611).

Almost surely, 2^431346240 is an apocalyptic number.

431346240 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 431346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821286648).

431346240 is an abundant number, since it is smaller than the sum of its proper divisors (1211227056).

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

431346240 is a wasteful number, since it uses less digits than its factorization.

431346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 431346240 is about 20768.8767149309. The cubic root of 431346240 is about 755.5711013077.

Adding to 431346240 its reverse (42643134), we get a palindrome (473989374).

The spelling of 431346240 in words is "four hundred thirty-one million, three hundred forty-six thousand, two hundred forty".