261540456 has 32 divisors (see below), whose sum is σ = 658190400. Its totient is φ = 86601600.

The previous prime is 261540449. The next prime is 261540467. The reversal of 261540456 is 654045162.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32461 + ... + 39708.

It is an arithmetic number, because the mean of its divisors is an integer number (20568450).

Almost surely, 2^261540456 is an apocalyptic number.

It is an amenable number.

261540456 is an abundant number, since it is smaller than the sum of its proper divisors (396649944).

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

261540456 is a wasteful number, since it uses less digits than its factorization.

261540456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72329 (or 72325 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 261540456 is about 16172.2124645949. The cubic root of 261540456 is about 639.5084572097.

It can be divided in two parts, 2615 and 40456, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 261540456 in words is "two hundred sixty-one million, five hundred forty thousand, four hundred fifty-six".