434211040 has 48 divisors (see below), whose sum is σ = 1031622480. Its totient is φ = 172702720.

The previous prime is 434211007. The next prime is 434211053. The reversal of 434211040 is 40112434.

It is a junction number, because it is equal to n+sod(n) for n = 434210999 and 434211017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21060 + ... + 36220.

It is an arithmetic number, because the mean of its divisors is an integer number (21492135).

Almost surely, 2^434211040 is an apocalyptic number.

434211040 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 434211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515811240).

434211040 is an abundant number, since it is smaller than the sum of its proper divisors (597411440).

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

434211040 is a wasteful number, since it uses less digits than its factorization.

434211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15355 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 434211040 is about 20837.7311624850. The cubic root of 434211040 is about 757.2401284105.

Adding to 434211040 its reverse (40112434), we get a palindrome (474323474).

The spelling of 434211040 in words is "four hundred thirty-four million, two hundred eleven thousand, forty".