13409280 has 176 divisors, whose sum is σ = 48145440. Its totient is φ = 3538944.

The previous prime is 13409251. The next prime is 13409287. The reversal of 13409280 is 8290431.

It is a super-3 number, since 3×13409280³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409287) 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, 138192 + ... + 138288.

Almost surely, 2^13409280 is an apocalyptic number.

13409280 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 13409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24072720).

13409280 is an abundant number, since it is smaller than the sum of its proper divisors (34736160).

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

13409280 is an equidigital number, since it uses as much as digits as its factorization.

13409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13409280 is about 3661.8683755700. The cubic root of 13409280 is about 237.5755918198.

It can be divided in two parts, 13409 and 280, that added together give a square (13689 = 117²).

The spelling of 13409280 in words is "thirteen million, four hundred nine thousand, two hundred eighty".