257148720 has 240 divisors, whose sum is σ = 916441344. Its totient is φ = 64512000.

The previous prime is 257148719. The next prime is 257148721. The reversal of 257148720 is 27841752.

257148720 is a `hidden beast` number, since 2 + 571 + 4 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257148719) and next prime (257148721).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×257148720² = 132250928395276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257148721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914980 + ... + 915260.

Almost surely, 2^257148720 is an apocalyptic number.

257148720 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 257148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458220672).

257148720 is an abundant number, since it is smaller than the sum of its proper divisors (659292624).

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

257148720 is a wasteful number, since it uses less digits than its factorization.

257148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 257148720 is about 16035.8573203929. The cubic root of 257148720 is about 635.9087326019.

The spelling of 257148720 in words is "two hundred fifty-seven million, one hundred forty-eight thousand, seven hundred twenty".