488910240 has 648 divisors, whose sum is σ = 2152833228. Its totient is φ = 100638720.

The previous prime is 488910229. The next prime is 488910271. The reversal of 488910240 is 42019884.

It can be written as a sum of positive squares in 6 ways, for example, as 853776 + 488056464 = 924^2 + 22092^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 488910195 and 488910204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924620 + ... + 11924660.

Almost surely, 2^488910240 is an apocalyptic number.

488910240 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 488910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076416614).

488910240 is an abundant number, since it is smaller than the sum of its proper divisors (1663922988).

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

488910240 is a wasteful number, since it uses less digits than its factorization.

488910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 488910240 is about 22111.3147505977. The cubic root of 488910240 is about 787.7886349372.

It can be divided in two parts, 4889 and 10240, that added together give a square (15129 = 123²).

The spelling of 488910240 in words is "four hundred eighty-eight million, nine hundred ten thousand, two hundred forty".