488400165 has 96 divisors (see below), whose sum is σ = 988243200. Its totient is φ = 228412800.

The previous prime is 488400161. The next prime is 488400169. The reversal of 488400165 is 561004884.

488400165 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (488400161) and next prime (488400169).

It is not a de Polignac number, because 488400165 - 2² = 488400161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488400161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 473200 + ... + 474230.

It is an arithmetic number, because the mean of its divisors is an integer number (10294200).

Almost surely, 2^488400165 is an apocalyptic number.

488400165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

488400165 is an abundant number, since it is smaller than the sum of its proper divisors (499843035).

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

488400165 is a wasteful number, since it uses less digits than its factorization.

488400165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 488400165 is about 22099.7774875676. Note that the first 3 decimals coincide. The cubic root of 488400165 is about 787.5145756939.

The spelling of 488400165 in words is "four hundred eighty-eight million, four hundred thousand, one hundred sixty-five".