431020440 has 160 divisors (see below), whose sum is σ = 1459956960. Its totient is φ = 114048000.

The previous prime is 431020423. The next prime is 431020451. The reversal of 431020440 is 44020134.

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 39 ways as a sum of consecutive naturals, for example, 488800 + ... + 489680.

It is an arithmetic number, because the mean of its divisors is an integer number (9124731).

Almost surely, 2^431020440 is an apocalyptic number.

431020440 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 431020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729978480).

431020440 is an abundant number, since it is smaller than the sum of its proper divisors (1028936520).

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

431020440 is a wasteful number, since it uses less digits than its factorization.

431020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 431020440 is about 20761.0317662683. The cubic root of 431020440 is about 755.3808233323.

Adding to 431020440 its reverse (44020134), we get a palindrome (475040574).

The spelling of 431020440 in words is "four hundred thirty-one million, twenty thousand, four hundred forty".