434253828560 has 40 divisors (see below), whose sum is σ = 1011186429480. Its totient is φ = 173435505152.

The previous prime is 434253828551. The next prime is 434253828571. The reversal of 434253828560 is 65828352434.

It can be written as a sum of positive squares in 4 ways, for example, as 752734096 + 433501094464 = 27436^2 + 658408^2 .

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 = 434253828499 and 434253828508.

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, 4104095 + ... + 4208574.

It is an arithmetic number, because the mean of its divisors is an integer number (25279660737).

Almost surely, 2^434253828560 is an apocalyptic number.

434253828560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434253828560 is an abundant number, since it is smaller than the sum of its proper divisors (576932600920).

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

434253828560 is a wasteful number, since it uses less digits than its factorization.

434253828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313335 (or 8313329 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 50.

The spelling of 434253828560 in words is "four hundred thirty-four billion, two hundred fifty-three million, eight hundred twenty-eight thousand, five hundred sixty".