48460608 has 252 divisors, whose sum is σ = 172780452. Its totient is φ = 12902400.

The previous prime is 48460579. The next prime is 48460627. The reversal of 48460608 is 80606484.

48460608 is a `hidden beast` number, since 4 + 8 + 46 + 0 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 5531904 = 6552^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479758 + ... + 479858.

Almost surely, 2^48460608 is an apocalyptic number.

48460608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86390226).

48460608 is an abundant number, since it is smaller than the sum of its proper divisors (124319844).

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

48460608 is a wasteful number, since it uses less digits than its factorization.

48460608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48460608 is about 6961.3653833138. The cubic root of 48460608 is about 364.5828925150.

The spelling of 48460608 in words is "forty-eight million, four hundred sixty thousand, six hundred eight".