48485952 has 140 divisors (see below), whose sum is σ = 147523200. Its totient is φ = 15738624.

The previous prime is 48485939. The next prime is 48485977. The reversal of 48485952 is 25958484.

48485952 is a `hidden beast` number, since 484 + 85 + 95 + 2 = 666.

It is a super-3 number, since 3×48485952³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48485898 and 48485907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243549 + ... + 243747.

Almost surely, 2^48485952 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 48485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73761600).

48485952 is an abundant number, since it is smaller than the sum of its proper divisors (99037248).

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

48485952 is a wasteful number, since it uses less digits than its factorization.

48485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 48485952 is about 6963.1854779260. The cubic root of 48485952 is about 364.6464381376.

It can be divided in two parts, 484 and 85952, that added together give a square (86436 = 294²).

The spelling of 48485952 in words is "forty-eight million, four hundred eighty-five thousand, nine hundred fifty-two".