15482880 has 240 divisors, whose sum is σ = 62912640. Its totient is φ = 3538944.

The previous prime is 15482861. The next prime is 15482893. The reversal of 15482880 is 8828451.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 4! ⋅ (2!)⁴.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211837 + ... + 2211843.

It is an arithmetic number, because the mean of its divisors is an integer number (262136).

Almost surely, 2^15482880 is an apocalyptic number.

15482880 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 15482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31456320).

15482880 is an abundant number, since it is smaller than the sum of its proper divisors (47429760).

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

15482880 is an frugal number, since it uses more digits than its factorization.

15482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 15482880 is about 3934.8290941285. The cubic root of 15482880 is about 249.2397168889.

The spelling of 15482880 in words is "fifteen million, four hundred eighty-two thousand, eight hundred eighty".