48360600 has 144 divisors (see below), whose sum is σ = 165246120. Its totient is φ = 12672000.

The previous prime is 48360583. The next prime is 48360623. The reversal of 48360600 is 606384.

48360600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120400 + ... + 120800.

Almost surely, 2^48360600 is an apocalyptic number.

48360600 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 48360600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82623060).

48360600 is an abundant number, since it is smaller than the sum of its proper divisors (116885520).

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

48360600 is a wasteful number, since it uses less digits than its factorization.

48360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48360600 is about 6954.1785999498. The cubic root of 48360600 is about 364.3319236158.

Adding to 48360600 its reverse (606384), we get a palindrome (48966984).

The spelling of 48360600 in words is "forty-eight million, three hundred sixty thousand, six hundred".