261255456 has 540 divisors, whose sum is σ = 1040219334. Its totient is φ = 63866880.

The previous prime is 261255389. The next prime is 261255479. The reversal of 261255456 is 654552162.

It can be written as a sum of positive squares in only one way, i.e., 192099600 + 69155856 = 13860^2 + 8316^2 .

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

Its product of digits (72000) is a multiple of the sum of its prime divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 261255456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15367960 + ... + 15367976.

Almost surely, 2^261255456 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 261255456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520109667).

261255456 is an abundant number, since it is smaller than the sum of its proper divisors (778963878).

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

261255456 is a wasteful number, since it uses less digits than its factorization.

261255456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 261255456 is about 16163.3986525112. The cubic root of 261255456 is about 639.2760825121.

The spelling of 261255456 in words is "two hundred sixty-one million, two hundred fifty-five thousand, four hundred fifty-six".