257480706 has 64 divisors (see below), whose sum is σ = 607961088. Its totient is φ = 71160768.

The previous prime is 257480701. The next prime is 257480753. The reversal of 257480706 is 607084752.

It is not an unprimeable number, because it can be changed into a prime (257480701) 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, 346171 + ... + 346913.

It is an arithmetic number, because the mean of its divisors is an integer number (9499392).

Almost surely, 2^257480706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257480706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303980544).

257480706 is an abundant number, since it is smaller than the sum of its proper divisors (350480382).

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

257480706 is a wasteful number, since it uses less digits than its factorization.

257480706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 257480706 is about 16046.2053458131. The cubic root of 257480706 is about 636.1822734162.

The spelling of 257480706 in words is "two hundred fifty-seven million, four hundred eighty thousand, seven hundred six".