260381952 has 180 divisors, whose sum is σ = 805039620. Its totient is φ = 83607552.

The previous prime is 260381941. The next prime is 260381969. The reversal of 260381952 is 259183062.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 183223296 = 8784^2 + 13536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601128 + ... + 601560.

Almost surely, 2^260381952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402519810).

260381952 is an abundant number, since it is smaller than the sum of its proper divisors (544657668).

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

260381952 is an equidigital number, since it uses as much as digits as its factorization.

260381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 260381952 is about 16136.3549787429. The cubic root of 260381952 is about 638.5628167454.

The spelling of 260381952 in words is "two hundred sixty million, three hundred eighty-one thousand, nine hundred fifty-two".