261380304 has 80 divisors (see below), whose sum is σ = 794413440. Its totient is φ = 81999360.

The previous prime is 261380291. The next prime is 261380311. The reversal of 261380304 is 403083162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10452 + ... + 25139.

It is an arithmetic number, because the mean of its divisors is an integer number (9930168).

Almost surely, 2^261380304 is an apocalyptic number.

261380304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261380304 is an abundant number, since it is smaller than the sum of its proper divisors (533033136).

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

261380304 is a wasteful number, since it uses less digits than its factorization.

261380304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35625 (or 35613 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 261380304 is about 16167.2602502712. The cubic root of 261380304 is about 639.3778980958.

The spelling of 261380304 in words is "two hundred sixty-one million, three hundred eighty thousand, three hundred four".