488508384 has 192 divisors, whose sum is σ = 1591833600. Its totient is φ = 127733760.

The previous prime is 488508353. The next prime is 488508401. The reversal of 488508384 is 483805884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738324 + ... + 1738604.

It is an arithmetic number, because the mean of its divisors is an integer number (8290800).

Almost surely, 2^488508384 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 488508384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795916800).

488508384 is an abundant number, since it is smaller than the sum of its proper divisors (1103325216).

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

488508384 is a wasteful number, since it uses less digits than its factorization.

488508384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 488508384 is about 22102.2257702703. The cubic root of 488508384 is about 787.5727368441.

The spelling of 488508384 in words is "four hundred eighty-eight million, five hundred eight thousand, three hundred eighty-four".