257724740 has 192 divisors, whose sum is σ = 728179200. Its totient is φ = 74317824.

The previous prime is 257724739. The next prime is 257724751. The reversal of 257724740 is 47427752.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 257724694 and 257724703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002692 + ... + 1002948.

It is an arithmetic number, because the mean of its divisors is an integer number (3792600).

Almost surely, 2^257724740 is an apocalyptic number.

257724740 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 257724740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364089600).

257724740 is an abundant number, since it is smaller than the sum of its proper divisors (470454460).

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

257724740 is a wasteful number, since it uses less digits than its factorization.

257724740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 38.

The square root of 257724740 is about 16053.8076480317. The cubic root of 257724740 is about 636.3831960222.

The spelling of 257724740 in words is "two hundred fifty-seven million, seven hundred twenty-four thousand, seven hundred forty".