257663484 has 144 divisors (see below), whose sum is σ = 762451200. Its totient is φ = 75007296.

The previous prime is 257663479. The next prime is 257663489. The reversal of 257663484 is 484366752.

257663484 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 634 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (257663479) and next prime (257663489).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257663489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346417 + ... + 347159.

It is an arithmetic number, because the mean of its divisors is an integer number (5294800).

Almost surely, 2^257663484 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 257663484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381225600).

257663484 is an abundant number, since it is smaller than the sum of its proper divisors (504787716).

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

257663484 is a wasteful number, since it uses less digits than its factorization.

257663484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 257663484 is about 16051.8997006585. The cubic root of 257663484 is about 636.3327735211.

The spelling of 257663484 in words is "two hundred fifty-seven million, six hundred sixty-three thousand, four hundred eighty-four".