254811960 has 128 divisors (see below), whose sum is σ = 914760000. Its totient is φ = 62719488.

The previous prime is 254811959. The next prime is 254811989. The reversal of 254811960 is 69118452.

254811960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966 + ... + 23114.

Almost surely, 2^254811960 is an apocalyptic number.

254811960 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 254811960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457380000).

254811960 is an abundant number, since it is smaller than the sum of its proper divisors (659948040).

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

254811960 is a wasteful number, since it uses less digits than its factorization.

254811960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18182 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 254811960 is about 15962.8305760601. The cubic root of 254811960 is about 633.9766599361.

The spelling of 254811960 in words is "two hundred fifty-four million, eight hundred eleven thousand, nine hundred sixty".