488907144 has 128 divisors (see below), whose sum is σ = 1492560000. Its totient is φ = 147052800.

The previous prime is 488907137. The next prime is 488907149. The reversal of 488907144 is 441709884.

It is a self number, because there is not a number n which added to its sum of digits gives 488907144.

It is not an unprimeable number, because it can be changed into a prime (488907149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353334 + ... + 354714.

It is an arithmetic number, because the mean of its divisors is an integer number (11660625).

Almost surely, 2^488907144 is an apocalyptic number.

488907144 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 488907144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746280000).

488907144 is an abundant number, since it is smaller than the sum of its proper divisors (1003652856).

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

488907144 is a wasteful number, since it uses less digits than its factorization.

488907144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 488907144 is about 22111.2447410814. The cubic root of 488907144 is about 787.7869720561.

The spelling of 488907144 in words is "four hundred eighty-eight million, nine hundred seven thousand, one hundred forty-four".