48604800 has 192 divisors, whose sum is σ = 164676960. Its totient is φ = 12595200.

The previous prime is 48604771. The next prime is 48604811. The reversal of 48604800 is 840684.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585559 + ... + 585641.

Almost surely, 2^48604800 is an apocalyptic number.

48604800 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 48604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82338480).

48604800 is an abundant number, since it is smaller than the sum of its proper divisors (116072160).

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

48604800 is a wasteful number, since it uses less digits than its factorization.

48604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48604800 is about 6971.7142798597. The cubic root of 48604800 is about 364.9441335651.

The spelling of 48604800 in words is "forty-eight million, six hundred four thousand, eight hundred".