48053376 has 192 divisors, whose sum is σ = 162302400. Its totient is φ = 13363200.

The previous prime is 48053347. The next prime is 48053387. The reversal of 48053376 is 67335084.

It is a happy number.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48053376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475726 + ... + 475826.

It is an arithmetic number, because the mean of its divisors is an integer number (845325).

Almost surely, 2^48053376 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 48053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81151200).

48053376 is an abundant number, since it is smaller than the sum of its proper divisors (114249024).

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

48053376 is a wasteful number, since it uses less digits than its factorization.

48053376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 48053376 is about 6932.0542409880. The cubic root of 48053376 is about 363.5587778717.

The spelling of 48053376 in words is "forty-eight million, fifty-three thousand, three hundred seventy-six".