245203200 has 540 divisors, whose sum is σ = 1012049808. Its totient is φ = 58060800.

The previous prime is 245203199. The next prime is 245203201. The reversal of 245203200 is 2302542.

It is an interprime number because it is at equal distance from previous prime (245203199) and next prime (245203201).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (245203201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702379 + ... + 5702421.

Almost surely, 2^245203200 is an apocalyptic number.

245203200 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 245203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506024904).

245203200 is an abundant number, since it is smaller than the sum of its proper divisors (766846608).

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

245203200 is a wasteful number, since it uses less digits than its factorization.

245203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 245203200 is about 15658.9654830707. The cubic root of 245203200 is about 625.9054183814.

Adding to 245203200 its reverse (2302542), we get a palindrome (247505742).

The spelling of 245203200 in words is "two hundred forty-five million, two hundred three thousand, two hundred".