48257820 has 144 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 11566080.

The previous prime is 48257809. The next prime is 48257821. The reversal of 48257820 is 2875284.

It is a happy number.

48257820 is a `hidden beast` number, since 4 + 82 + 578 + 2 + 0 = 666.

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 (48257821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95689 + ... + 96191.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 2^48257820 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 48257820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80904096).

48257820 is an abundant number, since it is smaller than the sum of its proper divisors (113550372).

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

48257820 is a wasteful number, since it uses less digits than its factorization.

48257820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48257820 is about 6946.7848678363. The cubic root of 48257820 is about 364.0736376400.

The spelling of 48257820 in words is "forty-eight million, two hundred fifty-seven thousand, eight hundred twenty".