261764460 has 72 divisors (see below), whose sum is σ = 823442256. Its totient is φ = 69802560.

The previous prime is 261764443. The next prime is 261764483. The reversal of 261764460 is 64467162.

261764460 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 644 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22071 + ... + 31790.

It is an arithmetic number, because the mean of its divisors is an integer number (11436698).

Almost surely, 2^261764460 is an apocalyptic number.

261764460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261764460 is an abundant number, since it is smaller than the sum of its proper divisors (561677796).

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

261764460 is a wasteful number, since it uses less digits than its factorization.

261764460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53885 (or 53871 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 261764460 is about 16179.1365653424. The cubic root of 261764460 is about 639.6909803733.

The spelling of 261764460 in words is "two hundred sixty-one million, seven hundred sixty-four thousand, four hundred sixty".