257200407 has 8 divisors (see below), whose sum is σ = 381037680. Its totient is φ = 171466920.

The previous prime is 257200387. The next prime is 257200423. The reversal of 257200407 is 704002752.

257200407 is a `hidden beast` number, since 2 + 57 + 200 + 407 = 666.

257200407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257200407 - 2⁶ = 257200343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9525941 = 257200407 / (2 + 5 + 7 + 2 + 0 + 0 + 4 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257200807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4762944 + ... + 4762997.

It is an arithmetic number, because the mean of its divisors is an integer number (47629710).

Almost surely, 2^257200407 is an apocalyptic number.

257200407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257200407 is a deficient number, since it is larger than the sum of its proper divisors (123837273).

257200407 is an equidigital number, since it uses as much as digits as its factorization.

257200407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525950 (or 9525944 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 257200407 is about 16037.4688464234. The cubic root of 257200407 is about 635.9513357211.

The spelling of 257200407 in words is "two hundred fifty-seven million, two hundred thousand, four hundred seven".