254168640 has 336 divisors, whose sum is σ = 975701376. Its totient is φ = 60211200.

The previous prime is 254168627. The next prime is 254168669. The reversal of 254168640 is 46861452.

254168640 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 6 + 8 + 640 = 666.

254168640 is digitally balanced in base 3, 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 junction number, because it is equal to n+sod(n) for n = 254168595 and 254168604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249224 + ... + 2249336.

Almost surely, 2^254168640 is an apocalyptic number.

254168640 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 254168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487850688).

254168640 is an abundant number, since it is smaller than the sum of its proper divisors (721532736).

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

254168640 is a wasteful number, since it uses less digits than its factorization.

254168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 254168640 is about 15942.6672799755. The cubic root of 254168640 is about 633.4426797965.

The spelling of 254168640 in words is "two hundred fifty-four million, one hundred sixty-eight thousand, six hundred forty".