262978560 has 264 divisors, whose sum is σ = 983542560. Its totient is φ = 64585728.

The previous prime is 262978553. The next prime is 262978561. The reversal of 262978560 is 65879262.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262978561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 598821 + ... + 599259.

It is an arithmetic number, because the mean of its divisors is an integer number (3725540).

Almost surely, 2^262978560 is an apocalyptic number.

262978560 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 262978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491771280).

262978560 is an abundant number, since it is smaller than the sum of its proper divisors (720564000).

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

262978560 is a wasteful number, since it uses less digits than its factorization.

262978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 262978560 is about 16216.6137032366. The cubic root of 262978560 is about 640.6784472084.

The spelling of 262978560 in words is "two hundred sixty-two million, nine hundred seventy-eight thousand, five hundred sixty".