48401664 has 144 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 14653440.

The previous prime is 48401663. The next prime is 48401677. The reversal of 48401664 is 46610484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48401663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452299 + ... + 452405.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^48401664 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 48401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

48401664 is an abundant number, since it is smaller than the sum of its proper divisors (92879616).

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

48401664 is a wasteful number, since it uses less digits than its factorization.

48401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48401664 is about 6957.1304429341. The cubic root of 48401664 is about 364.4350150688.

The spelling of 48401664 in words is "forty-eight million, four hundred one thousand, six hundred sixty-four".