254104416 has 72 divisors (see below), whose sum is σ = 725188464. Its totient is φ = 84399360.

The previous prime is 254104363. The next prime is 254104421. The reversal of 254104416 is 614401452.

254104416 is digitally balanced in base 3, 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 254104416.

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, 88150 + ... + 90986.

It is an arithmetic number, because the mean of its divisors is an integer number (10072062).

Almost surely, 2^254104416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362594232).

254104416 is an abundant number, since it is smaller than the sum of its proper divisors (471084048).

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

254104416 is a wasteful number, since it uses less digits than its factorization.

254104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 254104416 is about 15940.6529351843. The cubic root of 254104416 is about 633.3893219816.

Adding to 254104416 its reverse (614401452), we get a palindrome (868505868).

The spelling of 254104416 in words is "two hundred fifty-four million, one hundred four thousand, four hundred sixteen".