431402240 has 72 divisors (see below), whose sum is σ = 1061387880. Its totient is φ = 167878656.

The previous prime is 431402221. The next prime is 431402263. The reversal of 431402240 is 42204134.

It can be written as a sum of positive squares in 4 ways, for example, as 44729344 + 386672896 = 6688^2 + 19664^2 .

It is a super-2 number, since 2×431402240² = 372215785354035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 42806 + ... + 51914.

Almost surely, 2^431402240 is an apocalyptic number.

431402240 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 431402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530693940).

431402240 is an abundant number, since it is smaller than the sum of its proper divisors (629985640).

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

431402240 is an equidigital number, since it uses as much as digits as its factorization.

431402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 431402240 is about 20770.2248423073. The cubic root of 431402240 is about 755.6037975092.

Adding to 431402240 its reverse (42204134), we get a palindrome (473606374).

The spelling of 431402240 in words is "four hundred thirty-one million, four hundred two thousand, two hundred forty".