488789400 has 192 divisors, whose sum is σ = 1707033600. Its totient is φ = 114624000.

The previous prime is 488789387. The next prime is 488789443. The reversal of 488789400 is 4987884.

488789400 = 375² + 376² + ... + 1149².

It is a self number, because there is not a number n which added to its sum of digits gives 488789400.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 203406 + ... + 205794.

It is an arithmetic number, because the mean of its divisors is an integer number (8890800).

Almost surely, 2^488789400 is an apocalyptic number.

488789400 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 488789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853516800).

488789400 is an abundant number, since it is smaller than the sum of its proper divisors (1218244200).

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

488789400 is a wasteful number, since it uses less digits than its factorization.

488789400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 488789400 is about 22108.5820440841. The cubic root of 488789400 is about 787.7237258019.

The spelling of 488789400 in words is "four hundred eighty-eight million, seven hundred eighty-nine thousand, four hundred".