48648600 has 576 divisors, whose sum is σ = 227485440. Its totient is φ = 9331200.

The previous prime is 48648583. The next prime is 48648617. The reversal of 48648600 is 684684.

48648600 is a `hidden beast` number, since 4 + 8 + 6 + 48 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48648583) and next prime (48648617).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3742194 + ... + 3742206.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^48648600 is an apocalyptic number.

48648600 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 48648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

48648600 is an abundant number, since it is smaller than the sum of its proper divisors (178836840).

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

48648600 is a wasteful number, since it uses less digits than its factorization.

48648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48648600 is about 6974.8548371991. The cubic root of 48648600 is about 365.0537232488.

It can be divided in two parts, 486 and 48600, that multiplied together give a square (23619600 = 4860²).

The spelling of 48648600 in words is "forty-eight million, six hundred forty-eight thousand, six hundred".