434520640 has 112 divisors (see below), whose sum is σ = 1069189632. Its totient is φ = 168114176.

The previous prime is 434520551. The next prime is 434520649. The reversal of 434520640 is 46025434.

It is a junction number, because it is equal to n+sod(n) for n = 434520599 and 434520608.

It is not an unprimeable number, because it can be changed into a prime (434520649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511594 + ... + 2511766.

It is an arithmetic number, because the mean of its divisors is an integer number (9546336).

Almost surely, 2^434520640 is an apocalyptic number.

434520640 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 434520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534594816).

434520640 is an abundant number, since it is smaller than the sum of its proper divisors (634668992).

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

434520640 is a wasteful number, since it uses less digits than its factorization.

434520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 434520640 is about 20845.1586705403. The cubic root of 434520640 is about 757.4200607659.

The spelling of 434520640 in words is "four hundred thirty-four million, five hundred twenty thousand, six hundred forty".