245149200 has 120 divisors (see below), whose sum is σ = 872588000. Its totient is φ = 65370240.

The previous prime is 245149199. The next prime is 245149211. The reversal of 245149200 is 2941542.

245149200 is a `hidden beast` number, since 2 + 451 + 4 + 9 + 200 = 666.

245149200 is digitally balanced in base 3, 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550 + ... + 22149.

Almost surely, 2^245149200 is an apocalyptic number.

245149200 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 245149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436294000).

245149200 is an abundant number, since it is smaller than the sum of its proper divisors (627438800).

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

245149200 is a wasteful number, since it uses less digits than its factorization.

245149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22726 (or 22709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245149200 is about 15657.2411362922. The cubic root of 245149200 is about 625.8594682279.

The spelling of 245149200 in words is "two hundred forty-five million, one hundred forty-nine thousand, two hundred".