254661440 has 84 divisors (see below), whose sum is σ = 666653988. Its totient is φ = 92590080.

The previous prime is 254661419. The next prime is 254661443. The reversal of 254661440 is 44166452.

254661440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 193321216 + 61340224 = 13904^2 + 7832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 254661397 and 254661406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254661443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35432 + ... + 42008.

It is an arithmetic number, because the mean of its divisors is an integer number (7936357).

Almost surely, 2^254661440 is an apocalyptic number.

254661440 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 254661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333326994).

254661440 is an abundant number, since it is smaller than the sum of its proper divisors (411992548).

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

254661440 is a wasteful number, since it uses less digits than its factorization.

254661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 254661440 is about 15958.1151769249. The cubic root of 254661440 is about 633.8518032081.

The spelling of 254661440 in words is "two hundred fifty-four million, six hundred sixty-one thousand, four hundred forty".