245254002400 has 144 divisors (see below), whose sum is σ = 657926796240. Its totient is φ = 88531865600.

The previous prime is 245254002317. The next prime is 245254002403. The reversal of 245254002400 is 4200452542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245254002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103886 + ... + 1307314.

It is an arithmetic number, because the mean of its divisors is an integer number (4568936085).

Almost surely, 2^245254002400 is an apocalyptic number.

245254002400 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 245254002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328963398120).

245254002400 is an abundant number, since it is smaller than the sum of its proper divisors (412672793840).

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

245254002400 is a wasteful number, since it uses less digits than its factorization.

245254002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203597 (or 203584 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 245254002400 its reverse (4200452542), we get a palindrome (249454454942).

The spelling of 245254002400 in words is "two hundred forty-five billion, two hundred fifty-four million, two thousand, four hundred".