48456564 has 48 divisors (see below), whose sum is σ = 125973120. Its totient is φ = 14394240.

The previous prime is 48456559. The next prime is 48456581. The reversal of 48456564 is 46565484.

It is a super-3 number, since 3×48456564³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (2624440).

Almost surely, 2^48456564 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 48456564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62986560).

48456564 is an abundant number, since it is smaller than the sum of its proper divisors (77516556).

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

48456564 is a wasteful number, since it uses less digits than its factorization.

48456564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10758 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 48456564 is about 6961.0749169938. The cubic root of 48456564 is about 364.5727508468.

The spelling of 48456564 in words is "forty-eight million, four hundred fifty-six thousand, five hundred sixty-four".