488640024 has 192 divisors, whose sum is σ = 1467180000. Its totient is φ = 146313216.

The previous prime is 488639981. The next prime is 488640029. The reversal of 488640024 is 420046884.

488640024 is a `hidden beast` number, since 4 + 8 + 8 + 640 + 0 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488640029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4324192 + ... + 4324304.

Almost surely, 2^488640024 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 488640024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733590000).

488640024 is an abundant number, since it is smaller than the sum of its proper divisors (978539976).

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

488640024 is a wasteful number, since it uses less digits than its factorization.

488640024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 488640024 is about 22105.2035502956. The cubic root of 488640024 is about 787.6434737835.

The spelling of 488640024 in words is "four hundred eighty-eight million, six hundred forty thousand, twenty-four".