254948440 has 48 divisors (see below), whose sum is σ = 583840080. Its totient is φ = 100196160.

The previous prime is 254948417. The next prime is 254948461. The reversal of 254948440 is 44849452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 254948393 and 254948402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138325 + ... + 140155.

It is an arithmetic number, because the mean of its divisors is an integer number (12163335).

Almost surely, 2^254948440 is an apocalyptic number.

254948440 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 254948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291920040).

254948440 is an abundant number, since it is smaller than the sum of its proper divisors (328891640).

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

254948440 is a wasteful number, since it uses less digits than its factorization.

254948440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 254948440 is about 15967.1049348340. The cubic root of 254948440 is about 634.0898279513.

The spelling of 254948440 in words is "two hundred fifty-four million, nine hundred forty-eight thousand, four hundred forty".