257284823040 has 576 divisors, whose sum is σ = 1056904692480. Its totient is φ = 58803978240.

The previous prime is 257284823039. The next prime is 257284823053. The reversal of 257284823040 is 40328482752.

257284823040 is a `hidden beast` number, since 2 + 572 + 8 + 4 + 8 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×257284823040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17410855 + ... + 17425625.

It is an arithmetic number, because the mean of its divisors is an integer number (1834903980).

Almost surely, 2^257284823040 is an apocalyptic number.

257284823040 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 257284823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528452346240).

257284823040 is an abundant number, since it is smaller than the sum of its proper divisors (799619869440).

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

257284823040 is an equidigital number, since it uses as much as digits as its factorization.

257284823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14820 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 257284823040 in words is "two hundred fifty-seven billion, two hundred eighty-four million, eight hundred twenty-three thousand, forty".