257450400 has 360 divisors, whose sum is σ = 978335820. Its totient is φ = 65802240.

The previous prime is 257450377. The next prime is 257450407. The reversal of 257450400 is 4054752.

257450400 is a `hidden beast` number, since 2 + 574 + 50 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 106750224 + 150700176 = 10332^2 + 12276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257450407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1879132 + ... + 1879268.

Almost surely, 2^257450400 is an apocalyptic number.

257450400 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 257450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489167910).

257450400 is an abundant number, since it is smaller than the sum of its proper divisors (720885420).

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

257450400 is a wasteful number, since it uses less digits than its factorization.

257450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 257450400 is about 16045.2609826079. The cubic root of 257450400 is about 636.1573124567.

The spelling of 257450400 in words is "two hundred fifty-seven million, four hundred fifty thousand, four hundred".