488509440 has 104 divisors (see below), whose sum is σ = 1563235968. Its totient is φ = 130252800.

The previous prime is 488509421. The next prime is 488509453. The reversal of 488509440 is 44905884.

It is a super-2 number, since 2×488509440² = 477282945938227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488509392 and 488509401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57465 + ... + 65415.

Almost surely, 2^488509440 is an apocalyptic number.

488509440 is a gapful number since it is divisible by the number (40) 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 488509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781617984).

488509440 is an abundant number, since it is smaller than the sum of its proper divisors (1074726528).

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

488509440 is an equidigital number, since it uses as much as digits as its factorization.

488509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 488509440 is about 22102.2496592541. The cubic root of 488509440 is about 787.5733043378.

The spelling of 488509440 in words is "four hundred eighty-eight million, five hundred nine thousand, four hundred forty".