257488020 has 72 divisors (see below), whose sum is σ = 783095040. Its totient is φ = 68483520.

The previous prime is 257487983. The next prime is 257488039. The reversal of 257488020 is 20884752.

It is a happy number.

257488020 is a `hidden beast` number, since 2 + 574 + 8 + 80 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75921 + ... + 79239.

It is an arithmetic number, because the mean of its divisors is an integer number (10876320).

Almost surely, 2^257488020 is an apocalyptic number.

257488020 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 257488020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391547520).

257488020 is an abundant number, since it is smaller than the sum of its proper divisors (525607020).

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

257488020 is a wasteful number, since it uses less digits than its factorization.

257488020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 257488020 is about 16046.4332485447. The cubic root of 257488020 is about 636.1882971596.

The spelling of 257488020 in words is "two hundred fifty-seven million, four hundred eighty-eight thousand, twenty".