257633240 has 16 divisors (see below), whose sum is σ = 579674880. Its totient is φ = 103053280.

The previous prime is 257633239. The next prime is 257633263. The reversal of 257633240 is 42336752.

It is a junction number, because it is equal to n+sod(n) for n = 257633197 and 257633206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3220376 + ... + 3220455.

It is an arithmetic number, because the mean of its divisors is an integer number (36229680).

Almost surely, 2^257633240 is an apocalyptic number.

257633240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257633240 is an abundant number, since it is smaller than the sum of its proper divisors (322041640).

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

257633240 is a wasteful number, since it uses less digits than its factorization.

257633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440842 (or 6440838 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 257633240 is about 16050.9576038316. The cubic root of 257633240 is about 636.3078754110.

Adding to 257633240 its reverse (42336752), we get a palindrome (299969992).

The spelling of 257633240 in words is "two hundred fifty-seven million, six hundred thirty-three thousand, two hundred forty".