257400414 has 12 divisors (see below), whose sum is σ = 557700936. Its totient is φ = 85800132.

The previous prime is 257400359. The next prime is 257400431. The reversal of 257400414 is 414004752.

257400414 is a `hidden beast` number, since 257 + 400 + 4 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7149994 + ... + 7150029.

It is an arithmetic number, because the mean of its divisors is an integer number (46475078).

Almost surely, 2^257400414 is an apocalyptic number.

257400414 is an abundant number, since it is smaller than the sum of its proper divisors (300300522).

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

257400414 is a wasteful number, since it uses less digits than its factorization.

257400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300031 (or 14300028 counting only the distinct ones).

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

The square root of 257400414 is about 16043.7032508084. The cubic root of 257400414 is about 636.1161381597.

The spelling of 257400414 in words is "two hundred fifty-seven million, four hundred thousand, four hundred fourteen".