659438820 has 168 divisors, whose sum is σ = 2144728320. Its totient is φ = 170061120.

The previous prime is 659438803. The next prime is 659438861. The reversal of 659438820 is 28834956.

659438820 is a `hidden beast` number, since 6 + 594 + 38 + 8 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 451251 + ... + 452709.

It is an arithmetic number, because the mean of its divisors is an integer number (12766240).

Almost surely, 2^659438820 is an apocalyptic number.

659438820 is a gapful number since it is divisible by the number (60) 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 659438820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072364160).

659438820 is an abundant number, since it is smaller than the sum of its proper divisors (1485289500).

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

659438820 is a wasteful number, since it uses less digits than its factorization.

659438820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 659438820 is about 25679.5408837463. The cubic root of 659438820 is about 870.4119333428.

The spelling of 659438820 in words is "six hundred fifty-nine million, four hundred thirty-eight thousand, eight hundred twenty".