257022720 has 360 divisors, whose sum is σ = 958627824. Its totient is φ = 65691648.

The previous prime is 257022673. The next prime is 257022721. The reversal of 257022720 is 27220752.

It is a happy number.

257022720 is a `hidden beast` number, since 2 + 570 + 22 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257022721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3836127 + ... + 3836193.

Almost surely, 2^257022720 is an apocalyptic number.

257022720 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 257022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479313912).

257022720 is an abundant number, since it is smaller than the sum of its proper divisors (701605104).

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

257022720 is an equidigital number, since it uses as much as digits as its factorization.

257022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 257022720 is about 16031.9281435515. The cubic root of 257022720 is about 635.8048529085.

The spelling of 257022720 in words is "two hundred fifty-seven million, twenty-two thousand, seven hundred twenty".