254004400452 has 48 divisors (see below), whose sum is σ = 664031172672. Its totient is φ = 74890730880.

The previous prime is 254004400451. The next prime is 254004400453.

254004400452 is nontrivially palindromic in base 10.

254004400452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254004400451) and next prime (254004400453).

It is not an unprimeable number, because it can be changed into a prime (254004400451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25998843 + ... + 26008610.

It is an arithmetic number, because the mean of its divisors is an integer number (13833982764).

Almost surely, 2^254004400452 is an apocalyptic number.

254004400452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254004400452 is an abundant number, since it is smaller than the sum of its proper divisors (410026772220).

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

254004400452 is a wasteful number, since it uses less digits than its factorization.

254004400452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52007508 (or 52007506 counting only the distinct ones).

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

It can be divided in two parts, 254004 and 400452, that added together give a palindrome (654456).

The spelling of 254004400452 in words is "two hundred fifty-four billion, four million, four hundred thousand, four hundred fifty-two".