4815360 has 240 divisors, whose sum is σ = 19150560. Its totient is φ = 1105920.

The previous prime is 4815359. The next prime is 4815367. The reversal of 4815360 is 635184.

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

It is not an unprimeable number, because it can be changed into a prime (4815367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253431 + ... + 253449.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

Almost surely, 2^4815360 is an apocalyptic number.

4815360 is a gapful number since it is divisible by the number (40) 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 4815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280).

4815360 is an abundant number, since it is smaller than the sum of its proper divisors (14335200).

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

4815360 is a wasteful number, since it uses less digits than its factorization.

4815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4815360 is about 2194.3928545272. The cubic root of 4815360 is about 168.8662737750.

The spelling of 4815360 in words is "four million, eight hundred fifteen thousand, three hundred sixty".