257157456 has 80 divisors (see below), whose sum is σ = 685277568. Its totient is φ = 83059200.

The previous prime is 257157449. The next prime is 257157463. The reversal of 257157456 is 654751752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257157449) and next prime (257157463).

It is a super-2 number, since 2×257157456² = 132259914352783872, which contains 22 as substring.

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, 207270 + ... + 208506.

Almost surely, 2^257157456 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 257157456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342638784).

257157456 is an abundant number, since it is smaller than the sum of its proper divisors (428120112).

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

257157456 is a wasteful number, since it uses less digits than its factorization.

257157456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 257157456 is about 16036.1297076321. The cubic root of 257157456 is about 635.9159336693.

The spelling of 257157456 in words is "two hundred fifty-seven million, one hundred fifty-seven thousand, four hundred fifty-six".