488277504 has 480 divisors, whose sum is σ = 1797206400. Its totient is φ = 129392640.

The previous prime is 488277473. The next prime is 488277521. The reversal of 488277504 is 405772884.

It is a self number, because there is not a number n which added to its sum of digits gives 488277504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25698807 + ... + 25698825.

It is an arithmetic number, because the mean of its divisors is an integer number (3744180).

Almost surely, 2^488277504 is an apocalyptic number.

488277504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488277504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898603200).

488277504 is an abundant number, since it is smaller than the sum of its proper divisors (1308928896).

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

488277504 is a wasteful number, since it uses less digits than its factorization.

488277504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 488277504 is about 22097.0021496130. The cubic root of 488277504 is about 787.4486424557.

The spelling of 488277504 in words is "four hundred eighty-eight million, two hundred seventy-seven thousand, five hundred four".