48135360 has 448 divisors, whose sum is σ = 204825600. Its totient is φ = 9289728.

The previous prime is 48135349. The next prime is 48135419. The reversal of 48135360 is 6353184.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659826 + ... + 1659854.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 2^48135360 is an apocalyptic number.

48135360 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 48135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

48135360 is an abundant number, since it is smaller than the sum of its proper divisors (156690240).

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

48135360 is a wasteful number, since it uses less digits than its factorization.

48135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 48135360 is about 6937.9651195433. The cubic root of 48135360 is about 363.7654166185.

The spelling of 48135360 in words is "forty-eight million, one hundred thirty-five thousand, three hundred sixty".