257672740 has 96 divisors (see below), whose sum is σ = 624413664. Its totient is φ = 88473600.

The previous prime is 257672729. The next prime is 257672747. The reversal of 257672740 is 47276752.

It can be written as a sum of positive squares in 16 ways, for example, as 30206016 + 227466724 = 5496^2 + 15082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257672693 and 257672702.

It is not an unprimeable number, because it can be changed into a prime (257672747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428440 + ... + 429040.

It is an arithmetic number, because the mean of its divisors is an integer number (6504309).

Almost surely, 2^257672740 is an apocalyptic number.

257672740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257672740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312206832).

257672740 is an abundant number, since it is smaller than the sum of its proper divisors (366740924).

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

257672740 is a wasteful number, since it uses less digits than its factorization.

257672740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 257672740 is about 16052.1880128536. The cubic root of 257672740 is about 636.3403930533.

The spelling of 257672740 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, seven hundred forty".