262480 has 40 divisors (see below), whose sum is σ = 649512. Its totient is φ = 98304.

The previous prime is 262469. The next prime is 262489. The reversal of 262480 is 84262.

262480 = T₁₁₇ + T₁₁₈ + ... + T₁₄₆.

262480 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 234256 = 168^2 + 484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262489) 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, 1264 + ... + 1456.

2²⁶²⁴⁸⁰ is an apocalyptic number.

262480 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 262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324756).

262480 is an abundant number, since it is smaller than the sum of its proper divisors (387032).

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

262480 is a wasteful number, since it uses less digits than its factorization.

262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 262480 is about 512.3280199247. The cubic root of 262480 is about 64.0273320758.

It can be divided in two parts, 2624 and 80, that added together give a square (2704 = 52²).

The spelling of 262480 in words is "two hundred sixty-two thousand, four hundred eighty".