488205354420 has 432 divisors, whose sum is σ = 1783377243648. Its totient is φ = 107678108160.

The previous prime is 488205354367. The next prime is 488205354473. The reversal of 488205354420 is 24453502884.

488205354420 is a `hidden beast` number, since 4 + 8 + 82 + 0 + 5 + 3 + 544 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (488205354367) and next prime (488205354473).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101983267 + ... + 101988053.

It is an arithmetic number, because the mean of its divisors is an integer number (4128188064).

Almost surely, 2^488205354420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488205354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891688621824).

488205354420 is an abundant number, since it is smaller than the sum of its proper divisors (1295171889228).

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

488205354420 is a wasteful number, since it uses less digits than its factorization.

488205354420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 488205354420 in words is "four hundred eighty-eight billion, two hundred five million, three hundred fifty-four thousand, four hundred twenty".