488205600 has 72 divisors (see below), whose sum is σ = 1589117040. Its totient is φ = 130187520.

The previous prime is 488205563. The next prime is 488205607. The reversal of 488205600 is 6502884.

It is a super-3 number, since 3×488205600³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (488205607) 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 11 ways as a sum of consecutive naturals, for example, 99310 + ... + 104109.

It is an arithmetic number, because the mean of its divisors is an integer number (22071070).

Almost surely, 2^488205600 is an apocalyptic number.

488205600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488205600 is an abundant number, since it is smaller than the sum of its proper divisors (1100911440).

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

488205600 is a wasteful number, since it uses less digits than its factorization.

488205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203442 (or 203429 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 488205600 is about 22095.3750816772. The cubic root of 488205600 is about 787.4099871922.

The spelling of 488205600 in words is "four hundred eighty-eight million, two hundred five thousand, six hundred".