257062848 has 112 divisors (see below), whose sum is σ = 823106304. Its totient is φ = 69120000.

The previous prime is 257062843. The next prime is 257062849. The reversal of 257062848 is 848260752.

It is a happy number.

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

It is a super-2 number, since 2×257062848² = 132162615643742208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257062843) 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, 17223 + ... + 28473.

Almost surely, 2^257062848 is an apocalyptic number.

257062848 is a gapful number since it is divisible by the number (28) 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 257062848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411553152).

257062848 is an abundant number, since it is smaller than the sum of its proper divisors (566043456).

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

257062848 is a wasteful number, since it uses less digits than its factorization.

257062848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 257062848 is about 16033.1795973225. The cubic root of 257062848 is about 635.8379398012.

The spelling of 257062848 in words is "two hundred fifty-seven million, sixty-two thousand, eight hundred forty-eight".