262480820 has 96 divisors (see below), whose sum is σ = 670360320. Its totient is φ = 84326400.

The previous prime is 262480787. The next prime is 262480843. The reversal of 262480820 is 28084262.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268172 + ... + 269148.

It is an arithmetic number, because the mean of its divisors is an integer number (6982920).

Almost surely, 2^262480820 is an apocalyptic number.

262480820 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 262480820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335180160).

262480820 is an abundant number, since it is smaller than the sum of its proper divisors (407879500).

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

262480820 is a wasteful number, since it uses less digits than its factorization.

262480820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 262480820 is about 16201.2598275566. The cubic root of 262480820 is about 640.2739875054.

The spelling of 262480820 in words is "two hundred sixty-two million, four hundred eighty thousand, eight hundred twenty".