489977579520 has 1920 divisors, whose sum is σ = 2193623752320. Its totient is φ = 103195607040.

The previous prime is 489977579383. The next prime is 489977579527. The reversal of 489977579520 is 25975779984.

489977579520 is a `hidden beast` number, since 4 + 8 + 9 + 97 + 7 + 5 + 7 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489977579527) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28822210552 + ... + 28822210568.

It is an arithmetic number, because the mean of its divisors is an integer number (1142512371).

Almost surely, 2^489977579520 is an apocalyptic number.

489977579520 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 489977579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096811876160).

489977579520 is an abundant number, since it is smaller than the sum of its proper divisors (1703646172800).

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

489977579520 is an equidigital number, since it uses as much as digits as its factorization.

489977579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 489977579520 in words is "four hundred eighty-nine billion, nine hundred seventy-seven million, five hundred seventy-nine thousand, five hundred twenty".