262440 has 72 divisors (see below), whose sum is σ = 885690. Its totient is φ = 69984.

The previous prime is 262433. The next prime is 262459. The reversal of 262440 is 44262.

262440 is a `hidden beast` number, since 2 + 624 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 26244 = 486^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2 + 6 + 4⁴ + 2⁵ + 4⁹ + 0 .

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52486 + ... + 52490.

262440 is a Friedman number, since it can be written as 40/(2/6)^(4*2), using all its digits and the basic arithmetic operations.

2²⁶²⁴⁴⁰ is an apocalyptic number.

262440 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 262440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442845).

262440 is an abundant number, since it is smaller than the sum of its proper divisors (623250).

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

262440 is an frugal number, since it uses more digits than its factorization.

262440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 262440 is about 512.2889809473. The cubic root of 262440 is about 64.0240794808.

The spelling of 262440 in words is "two hundred sixty-two thousand, four hundred forty".