434434640 has 40 divisors (see below), whose sum is σ = 1029128328. Its totient is φ = 170493440.

The previous prime is 434434597. The next prime is 434434661. The reversal of 434434640 is 46434434.

It can be written as a sum of positive squares in 4 ways, for example, as 7268416 + 427166224 = 2696^2 + 20668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 434434597 and 434434606.

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, 46991 + ... + 55470.

Almost surely, 2^434434640 is an apocalyptic number.

434434640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434434640 is an abundant number, since it is smaller than the sum of its proper divisors (594693688).

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

434434640 is a wasteful number, since it uses less digits than its factorization.

434434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102527 (or 102521 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

The square root of 434434640 is about 20843.0957393570. The cubic root of 434434640 is about 757.3700881317.

The spelling of 434434640 in words is "four hundred thirty-four million, four hundred thirty-four thousand, six hundred forty".