261015480 has 256 divisors, whose sum is σ = 962150400. Its totient is φ = 62415360.

The previous prime is 261015449. The next prime is 261015497. The reversal of 261015480 is 84510162.

261015480 is a `hidden beast` number, since 2 + 610 + 1 + 5 + 48 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508674 + ... + 1508846.

It is an arithmetic number, because the mean of its divisors is an integer number (3758400).

Almost surely, 2^261015480 is an apocalyptic number.

261015480 is a gapful number since it is divisible by the number (20) 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 261015480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481075200).

261015480 is an abundant number, since it is smaller than the sum of its proper divisors (701134920).

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

261015480 is a wasteful number, since it uses less digits than its factorization.

261015480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 261015480 is about 16155.9735082724. The cubic root of 261015480 is about 639.0802870311.

The spelling of 261015480 in words is "two hundred sixty-one million, fifteen thousand, four hundred eighty".