431303040 has 384 divisors, whose sum is σ = 1794873600. Its totient is φ = 93229056.

The previous prime is 431303011. The next prime is 431303063. The reversal of 431303040 is 40303134.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765799 + ... + 766361.

It is an arithmetic number, because the mean of its divisors is an integer number (4674150).

Almost surely, 2^431303040 is an apocalyptic number.

431303040 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 431303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897436800).

431303040 is an abundant number, since it is smaller than the sum of its proper divisors (1363570560).

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

431303040 is a wasteful number, since it uses less digits than its factorization.

431303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 431303040 is about 20767.8366711605. The cubic root of 431303040 is about 755.5458765901.

Adding to 431303040 its reverse (40303134), we get a palindrome (471606174).

The spelling of 431303040 in words is "four hundred thirty-one million, three hundred three thousand, forty".