257144400 has 90 divisors (see below), whose sum is σ = 892374990. Its totient is φ = 68570880.

The previous prime is 257144389. The next prime is 257144401. The reversal of 257144400 is 4441752.

257144400 is a `hidden beast` number, since 257 + 1 + 4 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1272384 + 255872016 = 1128^2 + 15996^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×257144400² = 132246484902720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257144401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32115 + ... + 39314.

Almost surely, 2^257144400 is an apocalyptic number.

257144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257144400 is an abundant number, since it is smaller than the sum of its proper divisors (635230590).

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

257144400 is a wasteful number, since it uses less digits than its factorization.

257144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71453 (or 71439 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 257144400 is about 16035.7226216968. The cubic root of 257144400 is about 635.9051715743.

It can be divided in two parts, 2571 and 44400, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 257144400 in words is "two hundred fifty-seven million, one hundred forty-four thousand, four hundred".