257783320 has 96 divisors (see below), whose sum is σ = 614577600. Its totient is φ = 97284096.

The previous prime is 257783311. The next prime is 257783381. The reversal of 257783320 is 23387752.

It is a self number, because there is not a number n which added to its sum of digits gives 257783320.

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, 2657512 + ... + 2657608.

It is an arithmetic number, because the mean of its divisors is an integer number (6401850).

Almost surely, 2^257783320 is an apocalyptic number.

257783320 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 257783320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307288800).

257783320 is an abundant number, since it is smaller than the sum of its proper divisors (356794280).

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

257783320 is a wasteful number, since it uses less digits than its factorization.

257783320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 257783320 is about 16055.6320336510. The cubic root of 257783320 is about 636.4314083171.

The spelling of 257783320 in words is "two hundred fifty-seven million, seven hundred eighty-three thousand, three hundred twenty".