257772240 has 320 divisors, whose sum is σ = 1021363200. Its totient is φ = 59097600.

The previous prime is 257772227. The next prime is 257772253. The reversal of 257772240 is 42277752.

It is an interprime number because it is at equal distance from previous prime (257772227) and next prime (257772253).

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

It is a junction number, because it is equal to n+sod(n) for n = 257772195 and 257772204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451155 + ... + 451725.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^257772240 is an apocalyptic number.

257772240 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 257772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510681600).

257772240 is an abundant number, since it is smaller than the sum of its proper divisors (763590960).

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

257772240 is a wasteful number, since it uses less digits than its factorization.

257772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 257772240 is about 16055.2869796837. The cubic root of 257772240 is about 636.4222898566.

The spelling of 257772240 in words is "two hundred fifty-seven million, seven hundred seventy-two thousand, two hundred forty".