261343488 has 144 divisors (see below), whose sum is σ = 802359936. Its totient is φ = 73973760.

The previous prime is 261343451. The next prime is 261343501. The reversal of 261343488 is 884343162.

It is a happy number.

It is a super-2 number, since 2×261343488² = 136600837440012288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929908 + ... + 930188.

It is an arithmetic number, because the mean of its divisors is an integer number (5571944).

Almost surely, 2^261343488 is an apocalyptic number.

261343488 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 261343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401179968).

261343488 is an abundant number, since it is smaller than the sum of its proper divisors (541016448).

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

261343488 is a wasteful number, since it uses less digits than its factorization.

261343488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 261343488 is about 16166.1216128050. The cubic root of 261343488 is about 639.3478774176.

The spelling of 261343488 in words is "two hundred sixty-one million, three hundred forty-three thousand, four hundred eighty-eight".