245401344400 has 405 divisors, whose sum is σ = 661214807427. Its totient is φ = 87503923200.

The previous prime is 245401344371. The next prime is 245401344407. The reversal of 245401344400 is 4443104542.

The square root of 245401344400 is 495380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5740183696 + 239661160704 = 75764^2 + 489552^2 .

It is a super-2 number, since 2×245401344400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (245401344407) 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 80 ways as a sum of consecutive naturals, for example, 5221305177 + ... + 5221305223.

Almost surely, 2^245401344400 is an apocalyptic number.

245401344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245401344400 is the 495380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245401344400

245401344400 is an abundant number, since it is smaller than the sum of its proper divisors (415813463027).

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

245401344400 is a wasteful number, since it uses less digits than its factorization.

245401344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 245401344400 its reverse (4443104542), we get a palindrome (249844448942).

The spelling of 245401344400 in words is "two hundred forty-five billion, four hundred one million, three hundred forty-four thousand, four hundred".