253284482352 has 320 divisors, whose sum is σ = 743095296000. Its totient is φ = 73686912000.

The previous prime is 253284482329. The next prime is 253284482441.

253284482352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3686400) is a multiple of the sum of its prime factors (1280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248561299 + ... + 248562317.

It is an arithmetic number, because the mean of its divisors is an integer number (2322172800).

Almost surely, 2^253284482352 is an apocalyptic number.

253284482352 is a gapful number since it is divisible by the number (22) 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 253284482352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371547648000).

253284482352 is an abundant number, since it is smaller than the sum of its proper divisors (489810813648).

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

253284482352 is a wasteful number, since it uses less digits than its factorization.

253284482352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 253284482352 in words is "two hundred fifty-three billion, two hundred eighty-four million, four hundred eighty-two thousand, three hundred fifty-two".