245039200 has 288 divisors, whose sum is σ = 749952000. Its totient is φ = 77898240.

The previous prime is 245039189. The next prime is 245039209. The reversal of 245039200 is 2930542.

It is a happy number.

It is a super-5 number, since 5×245039200⁵ (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245039209) 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, 5213577 + ... + 5213623.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^245039200 is an apocalyptic number.

245039200 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 245039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

245039200 is an abundant number, since it is smaller than the sum of its proper divisors (504912800).

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

245039200 is a wasteful number, since it uses less digits than its factorization.

245039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 245039200 is about 15653.7279904820. The cubic root of 245039200 is about 625.7658451865.

Adding to 245039200 its reverse (2930542), we get a palindrome (247969742).

It can be divided in two parts, 2450 and 39200, that multiplied together give a square (96040000 = 9800²).

The spelling of 245039200 in words is "two hundred forty-five million, thirty-nine thousand, two hundred".