249030492480 has 672 divisors, whose sum is σ = 1070019175680. Its totient is φ = 51644989440.

The previous prime is 249030492391. The next prime is 249030492493. The reversal of 249030492480 is 84294030942.

It is a happy number.

249030492480 is a `hidden beast` number, since 2 + 4 + 90 + 30 + 492 + 48 + 0 = 666.

249030492480 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176742016 + ... + 176743424.

It is an arithmetic number, because the mean of its divisors is an integer number (1592290440).

Almost surely, 2^249030492480 is an apocalyptic number.

249030492480 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 249030492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535009587840).

249030492480 is an abundant number, since it is smaller than the sum of its proper divisors (820988683200).

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

249030492480 is a wasteful number, since it uses less digits than its factorization.

249030492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 249030492480 in words is "two hundred forty-nine billion, thirty million, four hundred ninety-two thousand, four hundred eighty".