431144640 has 224 divisors, whose sum is σ = 1536192000. Its totient is φ = 113826816.

The previous prime is 431144639. The next prime is 431144641. The reversal of 431144640 is 46441134.

431144640 is a `hidden beast` number, since 4 + 3 + 1 + 14 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (431144639) and next prime (431144641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (431144641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200781 + ... + 1201139.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^431144640 is an apocalyptic number.

431144640 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 431144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

431144640 is an abundant number, since it is smaller than the sum of its proper divisors (1105047360).

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

431144640 is a wasteful number, since it uses less digits than its factorization.

431144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 431144640 is about 20764.0227316385. The cubic root of 431144640 is about 755.4533715455.

Adding to 431144640 its reverse (46441134), we get a palindrome (477585774).

The spelling of 431144640 in words is "four hundred thirty-one million, one hundred forty-four thousand, six hundred forty".