249442260480 has 480 divisors, whose sum is σ = 1023885967104. Its totient is φ = 57014378496.

The previous prime is 249442260371. The next prime is 249442260503. The reversal of 249442260480 is 84062244942.

249442260480 is a `hidden beast` number, since 2 + 4 + 94 + 4 + 22 + 60 + 480 = 666.

249442260480 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 (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4325919 + ... + 4383201.

Almost surely, 2^249442260480 is an apocalyptic number.

249442260480 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 249442260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511942983552).

249442260480 is an abundant number, since it is smaller than the sum of its proper divisors (774443706624).

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

249442260480 is an frugal number, since it uses more digits than its factorization.

249442260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57328 (or 57300 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 249442260480 in words is "two hundred forty-nine billion, four hundred forty-two million, two hundred sixty thousand, four hundred eighty".