48609360 has 120 divisors (see below), whose sum is σ = 164588424. Its totient is φ = 12856320.

The previous prime is 48609349. The next prime is 48609361. The reversal of 48609360 is 6390684.

48609360 is a `hidden beast` number, since 48 + 609 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 48608784 = 24^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (48609361) 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, 130134 + ... + 130506.

Almost surely, 2^48609360 is an apocalyptic number.

48609360 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 48609360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82294212).

48609360 is an abundant number, since it is smaller than the sum of its proper divisors (115979064).

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

48609360 is a wasteful number, since it uses less digits than its factorization.

48609360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 48609360 is about 6972.0413079671. The cubic root of 48609360 is about 364.9555459716.

The spelling of 48609360 in words is "forty-eight million, six hundred nine thousand, three hundred sixty".