262628480 has 64 divisors (see below), whose sum is σ = 641278080. Its totient is φ = 102804480.

The previous prime is 262628447. The next prime is 262628533. The reversal of 262628480 is 84826262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×262628480² = 137947437014220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25715 + ... + 34445.

It is an arithmetic number, because the mean of its divisors is an integer number (10019970).

Almost surely, 2^262628480 is an apocalyptic number.

262628480 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 262628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320639040).

262628480 is an abundant number, since it is smaller than the sum of its proper divisors (378649600).

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

262628480 is an equidigital number, since it uses as much as digits as its factorization.

262628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 262628480 is about 16205.8162398566. The cubic root of 262628480 is about 640.3940281926.

The spelling of 262628480 in words is "two hundred sixty-two million, six hundred twenty-eight thousand, four hundred eighty".