257420160 has 128 divisors (see below), whose sum is σ = 911757600. Its totient is φ = 68640768.

The previous prime is 257420159. The next prime is 257420161. The reversal of 257420160 is 61024752.

It is an interprime number because it is at equal distance from previous prime (257420159) and next prime (257420161).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257420161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9832 + ... + 24728.

Almost surely, 2^257420160 is an apocalyptic number.

257420160 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 257420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455878800).

257420160 is an abundant number, since it is smaller than the sum of its proper divisors (654337440).

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

257420160 is a wasteful number, since it uses less digits than its factorization.

257420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14925 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257420160 is about 16044.3186206208. The cubic root of 257420160 is about 636.1324039042.

The spelling of 257420160 in words is "two hundred fifty-seven million, four hundred twenty thousand, one hundred sixty".