431242240 has 352 divisors, whose sum is σ = 1320560640. Its totient is φ = 132710400.

The previous prime is 431242193. The next prime is 431242261. The reversal of 431242240 is 42242134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13911025 + ... + 13911055.

Almost surely, 2^431242240 is an apocalyptic number.

431242240 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 431242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660280320).

431242240 is an abundant number, since it is smaller than the sum of its proper divisors (889318400).

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

431242240 is a wasteful number, since it uses less digits than its factorization.

431242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

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

The square root of 431242240 is about 20766.3728176107. The cubic root of 431242240 is about 755.5103722820.

Adding to 431242240 its reverse (42242134), we get a palindrome (473484374).

The spelling of 431242240 in words is "four hundred thirty-one million, two hundred forty-two thousand, two hundred forty".