257401473912 has 192 divisors, whose sum is σ = 796099000320. Its totient is φ = 74420640000.

The previous prime is 257401473887. The next prime is 257401473937. The reversal of 257401473912 is 219374104752.

257401473912 is a `hidden beast` number, since 2 + 57 + 40 + 1 + 473 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (257401473887) and next prime (257401473937).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669362 + ... + 1817022.

It is an arithmetic number, because the mean of its divisors is an integer number (4146348960).

Almost surely, 2^257401473912 is an apocalyptic number.

257401473912 is a gapful number since it is divisible by the number (22) 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 257401473912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398049500160).

257401473912 is an abundant number, since it is smaller than the sum of its proper divisors (538697526408).

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

257401473912 is a wasteful number, since it uses less digits than its factorization.

257401473912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147786 (or 147779 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 257401473912 in words is "two hundred fifty-seven billion, four hundred one million, four hundred seventy-three thousand, nine hundred twelve".