262848240 has 140 divisors (see below), whose sum is σ = 916467384. Its totient is φ = 70077312.

The previous prime is 262848233. The next prime is 262848241. The reversal of 262848240 is 42848262.

It is a happy number.

262848240 is a `hidden beast` number, since 2 + 628 + 4 + 8 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 262848195 and 262848204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262848241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56067 + ... + 60573.

Almost surely, 2^262848240 is an apocalyptic number.

262848240 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 262848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458233692).

262848240 is an abundant number, since it is smaller than the sum of its proper divisors (653619144).

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

262848240 is an equidigital number, since it uses as much as digits as its factorization.

262848240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 262848240 is about 16212.5951038074. The cubic root of 262848240 is about 640.5725995292.

The spelling of 262848240 in words is "two hundred sixty-two million, eight hundred forty-eight thousand, two hundred forty".