257720427 has 48 divisors (see below), whose sum is σ = 408005280. Its totient is φ = 160745472.

The previous prime is 257720423. The next prime is 257720461. The reversal of 257720427 is 724027752.

257720427 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 257720427 - 2² = 257720423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257720391 and 257720400.

It is not an unprimeable number, because it can be changed into a prime (257720423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335243 + ... + 1335435.

It is an arithmetic number, because the mean of its divisors is an integer number (8500110).

Almost surely, 2^257720427 is an apocalyptic number.

257720427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257720427 is a deficient number, since it is larger than the sum of its proper divisors (150284853).

257720427 is a wasteful number, since it uses less digits than its factorization.

257720427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 257720427 is about 16053.6733179668. The cubic root of 257720427 is about 636.3796460641.

The spelling of 257720427 in words is "two hundred fifty-seven million, seven hundred twenty thousand, four hundred twenty-seven".