48153456 has 120 divisors (see below), whose sum is σ = 150302880. Its totient is φ = 14289408.

The previous prime is 48153451. The next prime is 48153463. The reversal of 48153456 is 65435184.

It is a happy number.

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 48153456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48153451) 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, 53845 + ... + 54731.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^48153456 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 48153456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75151440).

48153456 is an abundant number, since it is smaller than the sum of its proper divisors (102149424).

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

48153456 is a wasteful number, since it uses less digits than its factorization.

48153456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 48153456 is about 6939.2691257797. The cubic root of 48153456 is about 363.8109955460.

The spelling of 48153456 in words is "forty-eight million, one hundred fifty-three thousand, four hundred fifty-six".