255874000 has 80 divisors (see below), whose sum is σ = 638816256. Its totient is φ = 99024000.

The previous prime is 255873997. The next prime is 255874009. The reversal of 255874000 is 478552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255874009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59937 + ... + 64063.

Almost surely, 2^255874000 is an apocalyptic number.

255874000 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 255874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319408128).

255874000 is an abundant number, since it is smaller than the sum of its proper divisors (382942256).

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

255874000 is a wasteful number, since it uses less digits than its factorization.

255874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 255874000 is about 15996.0620153837. The cubic root of 255874000 is about 634.8562304977.

The spelling of 255874000 in words is "two hundred fifty-five million, eight hundred seventy-four thousand".