249434639480 has 192 divisors, whose sum is σ = 639681870240. Its totient is φ = 87005850624.

The previous prime is 249434639479. The next prime is 249434639533. The reversal of 249434639480 is 84936434942.

249434639480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×249434639480³ (a number of 35 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 74523167 + ... + 74526513.

Almost surely, 2^249434639480 is an apocalyptic number.

249434639480 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 249434639480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319840935120).

249434639480 is an abundant number, since it is smaller than the sum of its proper divisors (390247230760).

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

249434639480 is a wasteful number, since it uses less digits than its factorization.

249434639480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 56.

The spelling of 249434639480 in words is "two hundred forty-nine billion, four hundred thirty-four million, six hundred thirty-nine thousand, four hundred eighty".