434131040 has 144 divisors (see below), whose sum is σ = 1249377696. Its totient is φ = 139161600.

The previous prime is 434131039. The next prime is 434131063. The reversal of 434131040 is 40131434.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874965 + ... + 2875115.

It is an arithmetic number, because the mean of its divisors is an integer number (8676234).

Almost surely, 2^434131040 is an apocalyptic number.

434131040 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 434131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624688848).

434131040 is an abundant number, since it is smaller than the sum of its proper divisors (815246656).

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

434131040 is a wasteful number, since it uses less digits than its factorization.

434131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 434131040 is about 20835.8114792777. The cubic root of 434131040 is about 757.1936203568.

Adding to 434131040 its reverse (40131434), we get a palindrome (474262474).

The spelling of 434131040 in words is "four hundred thirty-four million, one hundred thirty-one thousand, forty".