10209280 has 48 divisors (see below), whose sum is σ = 24520860. Its totient is φ = 4079616.

The previous prime is 10209233. The next prime is 10209281. The reversal of 10209280 is 8290201.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 173056 = 3168^2 + 416^2 .

It is not an unprimeable number, because it can be changed into a prime (10209281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9742 + ... + 10738.

Almost surely, 2^10209280 is an apocalyptic number.

10209280 is a gapful number since it is divisible by the number (10) 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 10209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260430).

10209280 is an abundant number, since it is smaller than the sum of its proper divisors (14311580).

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

10209280 is an frugal number, since it uses more digits than its factorization.

10209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10209280 is about 3195.1963945899. The cubic root of 10209280 is about 216.9360384022.

Adding to 10209280 its reverse (8290201), we get a palindrome (18499481).

The spelling of 10209280 in words is "ten million, two hundred nine thousand, two hundred eighty".