257284962 has 48 divisors (see below), whose sum is σ = 613211040. Its totient is φ = 77957880.

The previous prime is 257284957. The next prime is 257284967. The reversal of 257284962 is 269482752.

It is an interprime number because it is at equal distance from previous prime (257284957) and next prime (257284967).

It is not an unprimeable number, because it can be changed into a prime (257284967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18589 + ... + 29327.

It is an arithmetic number, because the mean of its divisors is an integer number (12775230).

Almost surely, 2^257284962 is an apocalyptic number.

257284962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 257284962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306605520).

257284962 is an abundant number, since it is smaller than the sum of its proper divisors (355926078).

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

257284962 is a wasteful number, since it uses less digits than its factorization.

257284962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10755 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 257284962 is about 16040.1048001564. The cubic root of 257284962 is about 636.0210180547.

The spelling of 257284962 in words is "two hundred fifty-seven million, two hundred eighty-four thousand, nine hundred sixty-two".