257610948 has 96 divisors (see below), whose sum is σ = 732340224. Its totient is φ = 68880768.

The previous prime is 257610943. The next prime is 257610967. The reversal of 257610948 is 849016752.

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

It is not an unprimeable number, because it can be changed into a prime (257610943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89386 + ... + 92222.

It is an arithmetic number, because the mean of its divisors is an integer number (7628544).

Almost surely, 2^257610948 is an apocalyptic number.

257610948 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 257610948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366170112).

257610948 is an abundant number, since it is smaller than the sum of its proper divisors (474729276).

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

257610948 is a wasteful number, since it uses less digits than its factorization.

257610948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 257610948 is about 16050.2631754124. The cubic root of 257610948 is about 636.2895224683.

The spelling of 257610948 in words is "two hundred fifty-seven million, six hundred ten thousand, nine hundred forty-eight".