15468480 has 168 divisors, whose sum is σ = 54918864. Its totient is φ = 3993600.

The previous prime is 15468463. The next prime is 15468529. The reversal of 15468480 is 8486451.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118015 + ... + 118145.

It is an arithmetic number, because the mean of its divisors is an integer number (326898).

Almost surely, 2^15468480 is an apocalyptic number.

15468480 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 15468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459432).

15468480 is an abundant number, since it is smaller than the sum of its proper divisors (39450384).

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

15468480 is a wasteful number, since it uses less digits than its factorization.

15468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 15468480 is about 3932.9988558351. The cubic root of 15468480 is about 249.1624236640.

The spelling of 15468480 in words is "fifteen million, four hundred sixty-eight thousand, four hundred eighty".