257019048 has 256 divisors, whose sum is σ = 860025600. Its totient is φ = 70087680.

The previous prime is 257019019. The next prime is 257019067. The reversal of 257019048 is 840910752.

257019048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1636986 + ... + 1637142.

It is an arithmetic number, because the mean of its divisors is an integer number (3359475).

Almost surely, 2^257019048 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 257019048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430012800).

257019048 is an abundant number, since it is smaller than the sum of its proper divisors (603006552).

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

257019048 is a wasteful number, since it uses less digits than its factorization.

257019048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 257019048 is about 16031.8136216711. The cubic root of 257019048 is about 635.8018250484.

The spelling of 257019048 in words is "two hundred fifty-seven million, nineteen thousand, forty-eight".