434782617957 has 12 divisors (see below), whose sum is σ = 628135342380. Its totient is φ = 289801537728.

The previous prime is 434782617947. The next prime is 434782617991. The reversal of 434782617957 is 759716287434.

434782617957 is a `hidden beast` number, since 4 + 3 + 4 + 7 + 8 + 2 + 617 + 9 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201965752836 + 232816865121 = 449406^2 + 482511^2 .

It is not a de Polignac number, because 434782617957 - 2²⁴ = 434765840741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434782617894 and 434782617903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434782617947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4410282 + ... + 4507787.

It is an arithmetic number, because the mean of its divisors is an integer number (52344611865).

Almost surely, 2^434782617957 is an apocalyptic number.

It is an amenable number.

434782617957 is a deficient number, since it is larger than the sum of its proper divisors (193352724423).

434782617957 is a wasteful number, since it uses less digits than its factorization.

434782617957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923492 (or 8923489 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 434782617957 in words is "four hundred thirty-four billion, seven hundred eighty-two million, six hundred seventeen thousand, nine hundred fifty-seven".