254544240 has 80 divisors (see below), whose sum is σ = 796975776. Its totient is φ = 67200000.

The previous prime is 254544229. The next prime is 254544253. The reversal of 254544240 is 42445452.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 254544198 and 254544207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18990 + ... + 29490.

Almost surely, 2^254544240 is an apocalyptic number.

254544240 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 254544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398487888).

254544240 is an abundant number, since it is smaller than the sum of its proper divisors (542431536).

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

254544240 is a wasteful number, since it uses less digits than its factorization.

254544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10618 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 254544240 is about 15954.4426414714. The cubic root of 254544240 is about 633.7545514342.

Adding to 254544240 its reverse (42445452), we get a palindrome (296989692).

The spelling of 254544240 in words is "two hundred fifty-four million, five hundred forty-four thousand, two hundred forty".