257429760 has 288 divisors, whose sum is σ = 961105152. Its totient is φ = 57507840.

The previous prime is 257429749. The next prime is 257429761. The reversal of 257429760 is 67924752.

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 (257429761) 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, 1639602 + ... + 1639758.

Almost surely, 2^257429760 is an apocalyptic number.

257429760 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 257429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480552576).

257429760 is an abundant number, since it is smaller than the sum of its proper divisors (703675392).

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

257429760 is a wasteful number, since it uses less digits than its factorization.

257429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 257429760 is about 16044.6177891528. The cubic root of 257429760 is about 636.1403115925.

The spelling of 257429760 in words is "two hundred fifty-seven million, four hundred twenty-nine thousand, seven hundred sixty".