488107620 has 720 divisors, whose sum is σ = 2141270208. Its totient is φ = 91445760.

The previous prime is 488107597. The next prime is 488107637. The reversal of 488107620 is 26701884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11351319 + ... + 11351361.

Almost surely, 2^488107620 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 488107620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070635104).

488107620 is an abundant number, since it is smaller than the sum of its proper divisors (1653162588).

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

488107620 is a wasteful number, since it uses less digits than its factorization.

488107620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 488107620 is about 22093.1577643396. The cubic root of 488107620 is about 787.3573074795.

The spelling of 488107620 in words is "four hundred eighty-eight million, one hundred seven thousand, six hundred twenty".