23209280 has 112 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 8601600.

The previous prime is 23209273. The next prime is 23209289. The reversal of 23209280 is 8290232.

It can be written as a sum of positive squares in 8 ways, for example, as 8340544 + 14868736 = 2888^2 + 3856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23209289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380450 + ... + 380510.

It is an arithmetic number, because the mean of its divisors is an integer number (531495).

Almost surely, 2^23209280 is an apocalyptic number.

23209280 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 23209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

23209280 is an abundant number, since it is smaller than the sum of its proper divisors (36318160).

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

23209280 is a wasteful number, since it uses less digits than its factorization.

23209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 23209280 is about 4817.6010627697. The cubic root of 23209280 is about 285.2466521765.

It can be divided in two parts, 2320 and 9280, that multiplied together give a square (21529600 = 4640²).

The spelling of 23209280 in words is "twenty-three million, two hundred nine thousand, two hundred eighty".