245242520400 has 120 divisors (see below), whose sum is σ = 785979051264. Its totient is φ = 65365913600.

The previous prime is 245242520389. The next prime is 245242520461. The reversal of 245242520400 is 4025242542.

245242520400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2448097 + ... + 2546303.

Almost surely, 2^245242520400 is an apocalyptic number.

245242520400 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 245242520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392989525632).

245242520400 is an abundant number, since it is smaller than the sum of its proper divisors (540736530864).

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

245242520400 is a wasteful number, since it uses less digits than its factorization.

245242520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100309 (or 100298 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 245242520400 its reverse (4025242542), we get a palindrome (249267762942).

The spelling of 245242520400 in words is "two hundred forty-five billion, two hundred forty-two million, five hundred twenty thousand, four hundred".