257621952 has 112 divisors (see below), whose sum is σ = 786985472. Its totient is φ = 72852480.

The previous prime is 257621939. The next prime is 257621963. The reversal of 257621952 is 259126752.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 257621952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137502 + ... + 139362.

It is an arithmetic number, because the mean of its divisors is an integer number (7026656).

Almost surely, 2^257621952 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 257621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393492736).

257621952 is an abundant number, since it is smaller than the sum of its proper divisors (529363520).

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

257621952 is a wasteful number, since it uses less digits than its factorization.

257621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1976 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 257621952 is about 16050.6059698692. The cubic root of 257621952 is about 636.2985821637.

The spelling of 257621952 in words is "two hundred fifty-seven million, six hundred twenty-one thousand, nine hundred fifty-two".