249823061400 has 576 divisors, whose sum is σ = 923501204640. Its totient is φ = 55599104000.

The previous prime is 249823061399. The next prime is 249823061431. The reversal of 249823061400 is 4160328942.

249823061400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 50599732 + ... + 50604668.

Almost surely, 2^249823061400 is an apocalyptic number.

249823061400 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 249823061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461750602320).

249823061400 is an abundant number, since it is smaller than the sum of its proper divisors (673678143240).

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

249823061400 is a wasteful number, since it uses less digits than its factorization.

249823061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 249823061400 in words is "two hundred forty-nine billion, eight hundred twenty-three million, sixty-one thousand, four hundred".