245122400 has 72 divisors (see below), whose sum is σ = 608336064. Its totient is φ = 96422400.

The previous prime is 245122379. The next prime is 245122417. The reversal of 245122400 is 4221542.

It is a happy number.

245122400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46289 + ... + 51311.

It is an arithmetic number, because the mean of its divisors is an integer number (8449112).

Almost surely, 2^245122400 is an apocalyptic number.

245122400 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 245122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304168032).

245122400 is an abundant number, since it is smaller than the sum of its proper divisors (363213664).

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

245122400 is a wasteful number, since it uses less digits than its factorization.

245122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 245122400 is about 15656.3852788567. The cubic root of 245122400 is about 625.8366608314.

Adding to 245122400 its reverse (4221542), we get a palindrome (249343942).

The spelling of 245122400 in words is "two hundred forty-five million, one hundred twenty-two thousand, four hundred".