48077904 has 160 divisors (see below), whose sum is σ = 158561280. Its totient is φ = 12220416.

The previous prime is 48077903. The next prime is 48077929. The reversal of 48077904 is 40977084.

48077904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48077904³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48077903) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 108307 + ... + 108749.

It is an arithmetic number, because the mean of its divisors is an integer number (991008).

Almost surely, 2^48077904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48077904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79280640).

48077904 is an abundant number, since it is smaller than the sum of its proper divisors (110483376).

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

48077904 is a wasteful number, since it uses less digits than its factorization.

48077904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 48077904 is about 6933.8231878236. The cubic root of 48077904 is about 363.6206247430.

The spelling of 48077904 in words is "forty-eight million, seventy-seven thousand, nine hundred four".