257893460 has 96 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 87834240.

The previous prime is 257893423. The next prime is 257893463. The reversal of 257893460 is 64398752.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257893463) 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, 430241 + ... + 430839.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^257893460 is an apocalyptic number.

257893460 is a gapful number since it is divisible by the number (20) 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 257893460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

257893460 is an abundant number, since it is smaller than the sum of its proper divisors (371098540).

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

257893460 is a wasteful number, since it uses less digits than its factorization.

257893460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 257893460 is about 16059.0616164208. The cubic root of 257893460 is about 636.5220355598.

The spelling of 257893460 in words is "two hundred fifty-seven million, eight hundred ninety-three thousand, four hundred sixty".