257613400 has 96 divisors (see below), whose sum is σ = 687902400. Its totient is φ = 88732800.

The previous prime is 257613397. The next prime is 257613451. The reversal of 257613400 is 4316752.

257613400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38719 + ... + 44881.

It is an arithmetic number, because the mean of its divisors is an integer number (7165650).

Almost surely, 2^257613400 is an apocalyptic number.

257613400 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 257613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343951200).

257613400 is an abundant number, since it is smaller than the sum of its proper divisors (430289000).

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

257613400 is a wasteful number, since it uses less digits than its factorization.

257613400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 257613400 is about 16050.3395602710. The cubic root of 257613400 is about 636.2915412450.

It can be divided in two parts, 25761 and 3400, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 257613400 in words is "two hundred fifty-seven million, six hundred thirteen thousand, four hundred".