254013312 has 128 divisors (see below), whose sum is σ = 786101760. Its totient is φ = 71165952.

The previous prime is 254013307. The next prime is 254013313. The reversal of 254013312 is 213310452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254013313) 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, 141573 + ... + 143355.

It is an arithmetic number, because the mean of its divisors is an integer number (6141420).

Almost surely, 2^254013312 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 254013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393050880).

254013312 is an abundant number, since it is smaller than the sum of its proper divisors (532088448).

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

254013312 is a wasteful number, since it uses less digits than its factorization.

254013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 254013312 is about 15937.7950796213. The cubic root of 254013312 is about 633.3136166223.

Adding to 254013312 its reverse (213310452), we get a palindrome (467323764).

The spelling of 254013312 in words is "two hundred fifty-four million, thirteen thousand, three hundred twelve".