261352448 has 132 divisors (see below), whose sum is σ = 636404112. Its totient is φ = 105062400.

The previous prime is 261352393. The next prime is 261352451. The reversal of 261352448 is 844253162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587598 + ... + 2587698.

Almost surely, 2^261352448 is an apocalyptic number.

261352448 is a gapful number since it is divisible by the number (28) 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 261352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318202056).

261352448 is an abundant number, since it is smaller than the sum of its proper divisors (375051664).

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

261352448 is a wasteful number, since it uses less digits than its factorization.

261352448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 261352448 is about 16166.3987331749. The cubic root of 261352448 is about 639.3551838830.

The spelling of 261352448 in words is "two hundred sixty-one million, three hundred fifty-two thousand, four hundred forty-eight".