245533200 has 360 divisors, whose sum is σ = 920253600. Its totient is φ = 55756800.

The previous prime is 245533199. The next prime is 245533207. The reversal of 245533200 is 2335542.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245533207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2758756 + ... + 2758844.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 2^245533200 is an apocalyptic number.

245533200 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 245533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460126800).

245533200 is an abundant number, since it is smaller than the sum of its proper divisors (674720400).

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

245533200 is a wasteful number, since it uses less digits than its factorization.

245533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 245533200 is about 15669.4990347490. The cubic root of 245533200 is about 626.1860783917.

Adding to 245533200 its reverse (2335542), we get a palindrome (247868742).

The spelling of 245533200 in words is "two hundred forty-five million, five hundred thirty-three thousand, two hundred".