257063240 has 64 divisors (see below), whose sum is σ = 666316800. Its totient is φ = 87429888.

The previous prime is 257063207. The next prime is 257063243. The reversal of 257063240 is 42360752.

257063240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257063243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31946 + ... + 39174.

It is an arithmetic number, because the mean of its divisors is an integer number (10411200).

Almost surely, 2^257063240 is an apocalyptic number.

257063240 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 257063240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333158400).

257063240 is an abundant number, since it is smaller than the sum of its proper divisors (409253560).

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

257063240 is a wasteful number, since it uses less digits than its factorization.

257063240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 257063240 is about 16033.1918219673. The cubic root of 257063240 is about 635.8382630015.

The spelling of 257063240 in words is "two hundred fifty-seven million, sixty-three thousand, two hundred forty".