249997310463460 has 192 divisors, whose sum is σ = 643035123118080. Its totient is φ = 79766643939840.

The previous prime is 249997310463443. The next prime is 249997310463493. The reversal of 249997310463460 is 64364013799942.

249997310463460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909236695 + ... + 2909322625.

It is an arithmetic number, because the mean of its divisors is an integer number (3349141266240).

Almost surely, 2^{249997310463460} is an apocalyptic number.

249997310463460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249997310463460 is the 7905652-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249997310463460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321517561559040).

249997310463460 is an abundant number, since it is smaller than the sum of its proper divisors (393037812654620).

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

249997310463460 is a wasteful number, since it uses less digits than its factorization.

249997310463460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110426 (or 110424 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 67.

The spelling of 249997310463460 in words is "two hundred forty-nine trillion, nine hundred ninety-seven billion, three hundred ten million, four hundred sixty-three thousand, four hundred sixty".