254401252 has 48 divisors (see below), whose sum is σ = 548093952. Its totient is φ = 100916640.

The previous prime is 254401247. The next prime is 254401309. The reversal of 254401252 is 252104452.

It is a super-3 number, since 3×254401252³ (a number of 26 digits) contains 333 as substring.

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, 13593 + ... + 26335.

It is an arithmetic number, because the mean of its divisors is an integer number (11418624).

Almost surely, 2^254401252 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 254401252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274046976).

254401252 is an abundant number, since it is smaller than the sum of its proper divisors (293692700).

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

254401252 is a wasteful number, since it uses less digits than its factorization.

254401252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12808 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 254401252 is about 15949.9608776950. The cubic root of 254401252 is about 633.6358605152.

Adding to 254401252 its product of nonzero digits (3200), we get a palindrome (254404452).

The spelling of 254401252 in words is "two hundred fifty-four million, four hundred one thousand, two hundred fifty-two".