488432100240 has 240 divisors, whose sum is σ = 1876803472128. Its totient is φ = 111513314304.

The previous prime is 488432100239. The next prime is 488432100241. The reversal of 488432100240 is 42001234884.

488432100240 is a `hidden beast` number, since 4 + 88 + 432 + 100 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (488432100239) and next prime (488432100241).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 488432100195 and 488432100204.

It is not an unprimeable number, because it can be changed into a prime (488432100241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4364829 + ... + 4475331.

Almost surely, 2^488432100240 is an apocalyptic number.

488432100240 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 488432100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938401736064).

488432100240 is an abundant number, since it is smaller than the sum of its proper divisors (1388371371888).

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

488432100240 is a wasteful number, since it uses less digits than its factorization.

488432100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111406 (or 111397 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 488432100240 in words is "four hundred eighty-eight billion, four hundred thirty-two million, one hundred thousand, two hundred forty".