255714000 has 320 divisors, whose sum is σ = 919226880. Its totient is φ = 60825600.

The previous prime is 255713971. The next prime is 255714049. The reversal of 255714000 is 417552.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2345946 + ... + 2346054.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^255714000 is an apocalyptic number.

255714000 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 255714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

255714000 is an abundant number, since it is smaller than the sum of its proper divisors (663512880).

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

255714000 is a wasteful number, since it uses less digits than its factorization.

255714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 255714000 is about 15991.0600023888. The cubic root of 255714000 is about 634.7238760621.

The spelling of 255714000 in words is "two hundred fifty-five million, seven hundred fourteen thousand".