245124422400 has 864 divisors, whose sum is σ = 964195287552. Its totient is φ = 54057369600.

The previous prime is 245124422303. The next prime is 245124422401. The reversal of 245124422400 is 4224421542.

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 (245124422401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200428189 + ... + 200429411.

It is an arithmetic number, because the mean of its divisors is an integer number (1115966768).

Almost surely, 2^245124422400 is an apocalyptic number.

245124422400 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 245124422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482097643776).

245124422400 is an abundant number, since it is smaller than the sum of its proper divisors (719070865152).

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

245124422400 is a wasteful number, since it uses less digits than its factorization.

245124422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 245124422400 its reverse (4224421542), we get a palindrome (249348843942).

The spelling of 245124422400 in words is "two hundred forty-five billion, one hundred twenty-four million, four hundred twenty-two thousand, four hundred".