254243623400 has 96 divisors (see below), whose sum is σ = 637047898200. Its totient is φ = 93806592000.

The previous prime is 254243623373. The next prime is 254243623423. The reversal of 254243623400 is 4326342452.

It is a happy number.

254243623400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9691614916 + 244552008484 = 98446^2 + 494522^2 .

It is a super-2 number, since 2×254243623400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3628700 + ... + 3698100.

Almost surely, 2^254243623400 is an apocalyptic number.

254243623400 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 254243623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318523949100).

254243623400 is an abundant number, since it is smaller than the sum of its proper divisors (382804274800).

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

254243623400 is a wasteful number, since it uses less digits than its factorization.

254243623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70839 (or 70830 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 254243623400 its reverse (4326342452), we get a palindrome (258569965852).

The spelling of 254243623400 in words is "two hundred fifty-four billion, two hundred forty-three million, six hundred twenty-three thousand, four hundred".