658428960 has 192 divisors, whose sum is σ = 2390556672. Its totient is φ = 149216256.

The previous prime is 658428959. The next prime is 658429001. The reversal of 658428960 is 69824856.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425949 + ... + 427491.

It is an arithmetic number, because the mean of its divisors is an integer number (12450816).

Almost surely, 2^658428960 is an apocalyptic number.

658428960 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 658428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195278336).

658428960 is an abundant number, since it is smaller than the sum of its proper divisors (1732127712).

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

658428960 is a wasteful number, since it uses less digits than its factorization.

658428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 658428960 is about 25659.8706154182. The cubic root of 658428960 is about 869.9673920927.

The spelling of 658428960 in words is "six hundred fifty-eight million, four hundred twenty-eight thousand, nine hundred sixty".