488822040 has 240 divisors, whose sum is σ = 1911848400. Its totient is φ = 111694464.

The previous prime is 488822039. The next prime is 488822041. The reversal of 488822040 is 40228884.

It is an interprime number because it is at equal distance from previous prime (488822039) and next prime (488822041).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 488821986 and 488822004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488822041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157221 + ... + 160299.

It is an arithmetic number, because the mean of its divisors is an integer number (7966035).

Almost surely, 2^488822040 is an apocalyptic number.

488822040 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 488822040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955924200).

488822040 is an abundant number, since it is smaller than the sum of its proper divisors (1423026360).

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

488822040 is a wasteful number, since it uses less digits than its factorization.

488822040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 488822040 is about 22109.3202066459. The cubic root of 488822040 is about 787.7412594133.

The spelling of 488822040 in words is "four hundred eighty-eight million, eight hundred twenty-two thousand, forty".