48645360 has 100 divisors (see below), whose sum is σ = 168975048. Its totient is φ = 12970368.

The previous prime is 48645349. The next prime is 48645367. The reversal of 48645360 is 6354684.

48645360 is a `hidden beast` number, since 4 + 8 + 645 + 3 + 6 + 0 = 666.

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 (48645367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2727 + ... + 10233.

Almost surely, 2^48645360 is an apocalyptic number.

48645360 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 48645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84487524).

48645360 is an abundant number, since it is smaller than the sum of its proper divisors (120329688).

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

48645360 is a wasteful number, since it uses less digits than its factorization.

48645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 48645360 is about 6974.6225704335. The cubic root of 48645360 is about 365.0456188681.

The spelling of 48645360 in words is "forty-eight million, six hundred forty-five thousand, three hundred sixty".