245230352400 has 240 divisors, whose sum is σ = 860239226880. Its totient is φ = 59222899200.

The previous prime is 245230352309. The next prime is 245230352401. The reversal of 245230352400 is 4253032542.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (245230352401) 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, 3436281 + ... + 3506919.

It is an arithmetic number, because the mean of its divisors is an integer number (3584330112).

Almost surely, 2^245230352400 is an apocalyptic number.

245230352400 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 245230352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430119613440).

245230352400 is an abundant number, since it is smaller than the sum of its proper divisors (615008874480).

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

245230352400 is a wasteful number, since it uses less digits than its factorization.

245230352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70934 (or 70923 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 245230352400 its reverse (4253032542), we get a palindrome (249483384942).

The spelling of 245230352400 in words is "two hundred forty-five billion, two hundred thirty million, three hundred fifty-two thousand, four hundred".