434646960 has 160 divisors (see below), whose sum is σ = 1494547200. Its totient is φ = 103603200.

The previous prime is 434646943. The next prime is 434646977. The reversal of 434646960 is 69646434.

It is an interprime number because it is at equal distance from previous prime (434646943) and next prime (434646977).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159691 + ... + 162389.

It is an arithmetic number, because the mean of its divisors is an integer number (9340920).

Almost surely, 2^434646960 is an apocalyptic number.

434646960 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 434646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747273600).

434646960 is an abundant number, since it is smaller than the sum of its proper divisors (1059900240).

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

434646960 is a wasteful number, since it uses less digits than its factorization.

434646960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 434646960 is about 20848.1884105070. The cubic root of 434646960 is about 757.4934504765.

The spelling of 434646960 in words is "four hundred thirty-four million, six hundred forty-six thousand, nine hundred sixty".