48405952 has 56 divisors (see below), whose sum is σ = 110605824. Its totient is φ = 20589312.

The previous prime is 48405949. The next prime is 48405979. The reversal of 48405952 is 25950484.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74493 + ... + 75139.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^48405952 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 48405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

48405952 is an abundant number, since it is smaller than the sum of its proper divisors (62199872).

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

48405952 is a wasteful number, since it uses less digits than its factorization.

48405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 48405952 is about 6957.4386091435. The cubic root of 48405952 is about 364.4457767594.

The spelling of 48405952 in words is "forty-eight million, four hundred five thousand, nine hundred fifty-two".