434334040 has 64 divisors (see below), whose sum is σ = 1139688000. Its totient is φ = 148909824.

The previous prime is 434334029. The next prime is 434334041. The reversal of 434334040 is 40433434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434333996 and 434334014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434334041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 29548.

It is an arithmetic number, because the mean of its divisors is an integer number (17807625).

Almost surely, 2^434334040 is an apocalyptic number.

434334040 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 434334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569844000).

434334040 is an abundant number, since it is smaller than the sum of its proper divisors (705353960).

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

434334040 is a wasteful number, since it uses less digits than its factorization.

434334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31689 (or 31671 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 434334040 is about 20840.6823304804. The cubic root of 434334040 is about 757.3116234009.

Adding to 434334040 its reverse (40433434), we get a palindrome (474767474).

It can be divided in two parts, 4343 and 34040, that added together give a palindrome (38383).

The spelling of 434334040 in words is "four hundred thirty-four million, three hundred thirty-four thousand, forty".