257370048 has 336 divisors, whose sum is σ = 880181120. Its totient is φ = 73903104.

The previous prime is 257370031. The next prime is 257370049. The reversal of 257370048 is 840073752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257369994 and 257370021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257370049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841311 + ... + 3841377.

Almost surely, 2^257370048 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 257370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440090560).

257370048 is an abundant number, since it is smaller than the sum of its proper divisors (622811072).

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

257370048 is a wasteful number, since it uses less digits than its factorization.

257370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257370048 is about 16042.7568703138. The cubic root of 257370048 is about 636.0911225793.

The spelling of 257370048 in words is "two hundred fifty-seven million, three hundred seventy thousand, forty-eight".