254124320 has 48 divisors (see below), whose sum is σ = 602417088. Its totient is φ = 101303040.

The previous prime is 254124319. The next prime is 254124323. The reversal of 254124320 is 23421452.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (254124323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47207 + ... + 52313.

It is an arithmetic number, because the mean of its divisors is an integer number (12550356).

Almost surely, 2^254124320 is an apocalyptic number.

254124320 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 254124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301208544).

254124320 is an abundant number, since it is smaller than the sum of its proper divisors (348292768).

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

254124320 is a wasteful number, since it uses less digits than its factorization.

254124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 254124320 is about 15941.2772386657. The cubic root of 254124320 is about 633.4058593460.

Adding to 254124320 its reverse (23421452), we get a palindrome (277545772).

The spelling of 254124320 in words is "two hundred fifty-four million, one hundred twenty-four thousand, three hundred twenty".