249470513280 has 320 divisors, whose sum is σ = 891734184000. Its totient is φ = 66463524864.

The previous prime is 249470513273. The next prime is 249470513293. The reversal of 249470513280 is 82315074942.

249470513280 is a `hidden beast` number, since 2 + 49 + 4 + 70 + 513 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92429371 + ... + 92432069.

It is an arithmetic number, because the mean of its divisors is an integer number (2786669325).

Almost surely, 2^249470513280 is an apocalyptic number.

249470513280 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 249470513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445867092000).

249470513280 is an abundant number, since it is smaller than the sum of its proper divisors (642263670720).

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

249470513280 is a wasteful number, since it uses less digits than its factorization.

249470513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 249470513280 in words is "two hundred forty-nine billion, four hundred seventy million, five hundred thirteen thousand, two hundred eighty".