245200302400 has 336 divisors, whose sum is σ = 668627513136. Its totient is φ = 88102010880.

The previous prime is 245200302397. The next prime is 245200302401. The reversal of 245200302400 is 4203002542.

It can be written as a sum of positive squares in 24 ways, for example, as 100392655104 + 144807647296 = 316848^2 + 380536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245200302401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53336902 + ... + 53341498.

Almost surely, 2^245200302400 is an apocalyptic number.

245200302400 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 245200302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334313756568).

245200302400 is an abundant number, since it is smaller than the sum of its proper divisors (423427210736).

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

245200302400 is a wasteful number, since it uses less digits than its factorization.

245200302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 245200302400 its reverse (4203002542), we get a palindrome (249403304942).

It can be divided in two parts, 245200 and 302400, that added together give a square (547600 = 740²).

The spelling of 245200302400 in words is "two hundred forty-five billion, two hundred million, three hundred two thousand, four hundred".