254487440 has 80 divisors (see below), whose sum is σ = 609127680. Its totient is φ = 98841600.

The previous prime is 254487419. The next prime is 254487449. The reversal of 254487440 is 44784452.

254487440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 254487394 and 254487403.

It is not an unprimeable number, because it can be changed into a prime (254487449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423140 + ... + 423740.

It is an arithmetic number, because the mean of its divisors is an integer number (7614096).

Almost surely, 2^254487440 is an apocalyptic number.

254487440 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 254487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304563840).

254487440 is an abundant number, since it is smaller than the sum of its proper divisors (354640240).

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

254487440 is a wasteful number, since it uses less digits than its factorization.

254487440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 38.

The square root of 254487440 is about 15952.6624737064. The cubic root of 254487440 is about 633.7074084354.

The spelling of 254487440 in words is "two hundred fifty-four million, four hundred eighty-seven thousand, four hundred forty".