48813408 has 144 divisors (see below), whose sum is σ = 165760560. Its totient is φ = 13934592.

The previous prime is 48813403. The next prime is 48813419. The reversal of 48813408 is 80431884.

It is a tau number, because it is divible by the number of its divisors (144).

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 (48813403) 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, 41760 + ... + 42912.

It is an arithmetic number, because the mean of its divisors is an integer number (1151115).

Almost surely, 2^48813408 is an apocalyptic number.

48813408 is a gapful number since it is divisible by the number (48) 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 48813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82880280).

48813408 is an abundant number, since it is smaller than the sum of its proper divisors (116947152).

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

48813408 is a wasteful number, since it uses less digits than its factorization.

48813408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48813408 is about 6986.6592875279. The cubic root of 48813408 is about 365.4654922904.

The spelling of 48813408 in words is "forty-eight million, eight hundred thirteen thousand, four hundred eight".