261257464 has 32 divisors (see below), whose sum is σ = 528484320. Its totient is φ = 120364416.

The previous prime is 261257461. The next prime is 261257471. The reversal of 261257464 is 464752162.

261257464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261257464² = 136510924991422592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261257461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65989 + ... + 69835.

It is an arithmetic number, because the mean of its divisors is an integer number (16515135).

Almost surely, 2^261257464 is an apocalyptic number.

It is an amenable number.

261257464 is an abundant number, since it is smaller than the sum of its proper divisors (267226856).

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

261257464 is a wasteful number, since it uses less digits than its factorization.

261257464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4515 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 261257464 is about 16163.4607680410. The cubic root of 261257464 is about 639.2777203255.

The spelling of 261257464 in words is "two hundred sixty-one million, two hundred fifty-seven thousand, four hundred sixty-four".