249795450360 has 192 divisors, whose sum is σ = 850978608480. Its totient is φ = 63475937280.

The previous prime is 249795450299. The next prime is 249795450367. The reversal of 249795450360 is 63054597942.

249795450360 is a `hidden beast` number, since 2 + 4 + 9 + 79 + 5 + 4 + 503 + 60 = 666.

249795450360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249795450297 and 249795450306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249795450367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437892 + ... + 831468.

Almost surely, 2^249795450360 is an apocalyptic number.

249795450360 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 249795450360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425489304240).

249795450360 is an abundant number, since it is smaller than the sum of its proper divisors (601183158120).

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

249795450360 is a wasteful number, since it uses less digits than its factorization.

249795450360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393678 (or 393671 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 249795450360 in words is "two hundred forty-nine billion, seven hundred ninety-five million, four hundred fifty thousand, three hundred sixty".