434634640 has 80 divisors (see below), whose sum is σ = 1111357440. Its totient is φ = 156764160.

The previous prime is 434634619. The next prime is 434634659. The reversal of 434634640 is 46436434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 434634596 and 434634605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109816 + ... + 113704.

It is an arithmetic number, because the mean of its divisors is an integer number (13891968).

Almost surely, 2^434634640 is an apocalyptic number.

434634640 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 434634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555678720).

434634640 is an abundant number, since it is smaller than the sum of its proper divisors (676722800).

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

434634640 is a wasteful number, since it uses less digits than its factorization.

434634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 434634640 is about 20847.8929390958. The cubic root of 434634640 is about 757.4862933979.

The spelling of 434634640 in words is "four hundred thirty-four million, six hundred thirty-four thousand, six hundred forty".