254955456000 has 960 divisors, whose sum is σ = 1078482936960. Its totient is φ = 56667340800.

The previous prime is 254955455969. The next prime is 254955456031. The reversal of 254955456000 is 654559452.

254955456000 is a `hidden beast` number, since 2 + 5 + 49 + 5 + 545 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (254955455969) and next prime (254955456031).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149183146 + ... + 149184854.

It is an arithmetic number, because the mean of its divisors is an integer number (1123419726).

Almost surely, 2^254955456000 is an apocalyptic number.

254955456000 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 254955456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539241468480).

254955456000 is an abundant number, since it is smaller than the sum of its proper divisors (823527480960).

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

254955456000 is a wasteful number, since it uses less digits than its factorization.

254955456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

It can be divided in two parts, 25 and 4955456000, that added together give a square (4955456025 = 70395²).

The spelling of 254955456000 in words is "two hundred fifty-four billion, nine hundred fifty-five million, four hundred fifty-six thousand".