48024960 has 64 divisors (see below), whose sum is σ = 153085680. Its totient is φ = 12806144.

The previous prime is 48024947. The next prime is 48024961. The reversal of 48024960 is 6942084.

48024960 = 2306² + 2307² + ... + 2314².

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48024961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10587 + ... + 14426.

Almost surely, 2^48024960 is an apocalyptic number.

48024960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48024960 is an abundant number, since it is smaller than the sum of its proper divisors (105060720).

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

48024960 is a wasteful number, since it uses less digits than its factorization.

48024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25035 (or 25023 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48024960 is about 6930.0043290030. The cubic root of 48024960 is about 363.4871011646.

It can be divided in two parts, 48024 and 960, that added together give a palindrome (48984).

The spelling of 48024960 in words is "forty-eight million, twenty-four thousand, nine hundred sixty".