15396480 has 256 divisors, whose sum is σ = 60220800. Its totient is φ = 3732480.

The previous prime is 15396473. The next prime is 15396487. The reversal of 15396480 is 8469351.

15396480 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 648 + 0 = 666.

15396480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15396473) and next prime (15396487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15396487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399675 + ... + 1399685.

Almost surely, 2^15396480 is an apocalyptic number.

15396480 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 15396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110400).

15396480 is an abundant number, since it is smaller than the sum of its proper divisors (44824320).

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

15396480 is an frugal number, since it uses more digits than its factorization.

15396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 15396480 is about 3923.8348589103. The cubic root of 15396480 is about 248.7752362804.

It can be divided in two parts, 15396 and 480, that added together give a square (15876 = 126²).

The spelling of 15396480 in words is "fifteen million, three hundred ninety-six thousand, four hundred eighty".