257271432 has 32 divisors (see below), whose sum is σ = 701650080. Its totient is φ = 77960960.

The previous prime is 257271431. The next prime is 257271437. The reversal of 257271432 is 234172752.

257271432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 257271393 and 257271402.

It is not an unprimeable number, because it can be changed into a prime (257271431) 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, 486993 + ... + 487520.

It is an arithmetic number, because the mean of its divisors is an integer number (21926565).

Almost surely, 2^257271432 is an apocalyptic number.

257271432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257271432 is an abundant number, since it is smaller than the sum of its proper divisors (444378648).

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

257271432 is a wasteful number, since it uses less digits than its factorization.

257271432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974533 (or 974529 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 257271432 is about 16039.6830392623. The cubic root of 257271432 is about 636.0098689185.

The spelling of 257271432 in words is "two hundred fifty-seven million, two hundred seventy-one thousand, four hundred thirty-two".