257414220 has 96 divisors (see below), whose sum is σ = 915264000. Its totient is φ = 58836672.

The previous prime is 257414203. The next prime is 257414231. The reversal of 257414220 is 22414752.

257414220 is a `hidden beast` number, since 25 + 7 + 414 + 220 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30270 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (9534000).

Almost surely, 2^257414220 is an apocalyptic number.

257414220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257414220 is an abundant number, since it is smaller than the sum of its proper divisors (657849780).

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

257414220 is a wasteful number, since it uses less digits than its factorization.

257414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68124 (or 68116 counting only the distinct ones).

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

The square root of 257414220 is about 16044.1335072979. The cubic root of 257414220 is about 636.1275109236.

Adding to 257414220 its reverse (22414752), we get a palindrome (279828972).

The spelling of 257414220 in words is "two hundred fifty-seven million, four hundred fourteen thousand, two hundred twenty".