261464 has 48 divisors (see below), whose sum is σ = 615600. Its totient is φ = 103488.

The previous prime is 261463. The next prime is 261467. The reversal of 261464 is 464162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (1152) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261464.

It is not an unprimeable number, because it can be changed into a prime (261463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9002 + ... + 9030.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2²⁶¹⁴⁶⁴ 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 261464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800).

261464 is an abundant number, since it is smaller than the sum of its proper divisors (354136).

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

261464 is a wasteful number, since it uses less digits than its factorization.

261464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 261464 is about 511.3355062970. The cubic root of 261464 is about 63.9446135400.

It can be divided in two parts, 261 and 464, that multiplied together give a square (121104 = 348²).

The spelling of 261464 in words is "two hundred sixty-one thousand, four hundred sixty-four".