257429706480 has 720 divisors, whose sum is σ = 965065660416. Its totient is φ = 61390586880.

The previous prime is 257429706467. The next prime is 257429706529. The reversal of 257429706480 is 84607924752.

257429706480 is a `hidden beast` number, since 2 + 5 + 74 + 2 + 97 + 0 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346472989 + ... + 346473731.

Almost surely, 2^257429706480 is an apocalyptic number.

257429706480 is a gapful number since it is divisible by the number (20) 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 257429706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482532830208).

257429706480 is an abundant number, since it is smaller than the sum of its proper divisors (707635953936).

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

257429706480 is a wasteful number, since it uses less digits than its factorization.

257429706480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 257429706480 in words is "two hundred fifty-seven billion, four hundred twenty-nine million, seven hundred six thousand, four hundred eighty".