257280617464 has 64 divisors (see below), whose sum is σ = 524613529440. Its totient is φ = 117579202560.

The previous prime is 257280617453. The next prime is 257280617509. The reversal of 257280617464 is 464716082752.

It is a super-2 number, since 2×257280617464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31521544 + ... + 31529704.

Almost surely, 2^257280617464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257280617464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262306764720).

257280617464 is an abundant number, since it is smaller than the sum of its proper divisors (267332911976).

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

257280617464 is a wasteful number, since it uses less digits than its factorization.

257280617464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 257280617464 in words is "two hundred fifty-seven billion, two hundred eighty million, six hundred seventeen thousand, four hundred sixty-four".