245204224400 has 120 divisors (see below), whose sum is σ = 616442391144. Its totient is φ = 93629952000.

The previous prime is 245204224387. The next prime is 245204224411. The reversal of 245204224400 is 4422402542.

It can be written as a sum of positive squares in 12 ways, for example, as 5934545296 + 239269679104 = 77036^2 + 489152^2 .

It is a super-2 number, since 2×245204224400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628100 + ... + 940700.

Almost surely, 2^245204224400 is an apocalyptic number.

245204224400 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 245204224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308221195572).

245204224400 is an abundant number, since it is smaller than the sum of its proper divisors (371238166744).

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

245204224400 is a wasteful number, since it uses less digits than its factorization.

245204224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312709 (or 312698 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 29.

Adding to 245204224400 its reverse (4422402542), we get a palindrome (249626626942).

The spelling of 245204224400 in words is "two hundred forty-five billion, two hundred four million, two hundred twenty-four thousand, four hundred".