434256898560 has 640 divisors, whose sum is σ = 1557877432320. Its totient is φ = 102667124736.

The previous prime is 434256898441. The next prime is 434256898589. The reversal of 434256898560 is 65898652434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 434256898494 and 434256898503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157738144 + ... + 157740896.

It is an arithmetic number, because the mean of its divisors is an integer number (2434183488).

Almost surely, 2^434256898560 is an apocalyptic number.

434256898560 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 434256898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778938716160).

434256898560 is an abundant number, since it is smaller than the sum of its proper divisors (1123620533760).

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

434256898560 is a wasteful number, since it uses less digits than its factorization.

434256898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 434256898560 in words is "four hundred thirty-four billion, two hundred fifty-six million, eight hundred ninety-eight thousand, five hundred sixty".