249404473903200 has 1728 divisors, whose sum is σ = 1065702286688256. Its totient is φ = 49498099200000.

The previous prime is 249404473903129. The next prime is 249404473903217. The reversal of 249404473903200 is 2309374404942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35112550849 + ... + 35112557951.

It is an arithmetic number, because the mean of its divisors is an integer number (616725860352).

Almost surely, 2^{249404473903200} is an apocalyptic number.

249404473903200 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 249404473903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532851143344128).

249404473903200 is an abundant number, since it is smaller than the sum of its proper divisors (816297812785056).

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

249404473903200 is a wasteful number, since it uses less digits than its factorization.

249404473903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 249404473903200 in words is "two hundred forty-nine trillion, four hundred four billion, four hundred seventy-three million, nine hundred three thousand, two hundred".