257400000 has 504 divisors, whose sum is σ = 1083399408. Its totient is φ = 57600000.

The previous prime is 257399999. The next prime is 257400001. The reversal of 257400000 is 4752.

It is a happy number.

257400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257399999) and next prime (257400001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (257400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19799994 + ... + 19800006.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602).

Almost surely, 2^257400000 is an apocalyptic number.

257400000 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 257400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541699704).

257400000 is an abundant number, since it is smaller than the sum of its proper divisors (825999408).

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

257400000 is a wasteful number, since it uses less digits than its factorization.

257400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 257400000 is about 16043.6903485451. The cubic root of 257400000 is about 636.1157971188.

Adding to 257400000 its reverse (4752), we get a palindrome (257404752).

The spelling of 257400000 in words is "two hundred fifty-seven million, four hundred thousand".