254661120 has 240 divisors, whose sum is σ = 1008596160. Its totient is φ = 58171392.

The previous prime is 254661107. The next prime is 254661133. The reversal of 254661120 is 21166452.

254661120 is a `hidden beast` number, since 2 + 5 + 46 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (254661107) and next prime (254661133).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160491 + ... + 162069.

It is an arithmetic number, because the mean of its divisors is an integer number (4202484).

Almost surely, 2^254661120 is an apocalyptic number.

254661120 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 254661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504298080).

254661120 is an abundant number, since it is smaller than the sum of its proper divisors (753935040).

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

254661120 is a wasteful number, since it uses less digits than its factorization.

254661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 254661120 is about 15958.1051506750. The cubic root of 254661120 is about 633.8515377149.

The spelling of 254661120 in words is "two hundred fifty-four million, six hundred sixty-one thousand, one hundred twenty".