257229040 has 40 divisors (see below), whose sum is σ = 633240720. Its totient is φ = 96838656.

The previous prime is 257229031. The next prime is 257229047. The reversal of 257229040 is 40922752.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 257228993 and 257229011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257229047) 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, 93210 + ... + 95929.

It is an arithmetic number, because the mean of its divisors is an integer number (15831018).

Almost surely, 2^257229040 is an apocalyptic number.

257229040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257229040 is an abundant number, since it is smaller than the sum of its proper divisors (376011680).

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

257229040 is a wasteful number, since it uses less digits than its factorization.

257229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189169 (or 189163 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 257229040 is about 16038.3615123241. The cubic root of 257229040 is about 635.9749340753.

The spelling of 257229040 in words is "two hundred fifty-seven million, two hundred twenty-nine thousand, forty".