428766660 has 216 divisors, whose sum is σ = 1527094296. Its totient is φ = 97090560.

The previous prime is 428766647. The next prime is 428766671. The reversal of 428766660 is 66667824.

It can be written as a sum of positive squares in 4 ways, for example, as 157703364 + 271063296 = 12558^2 + 16464^2 .

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 71 ways as a sum of consecutive naturals, for example, 1525720 + ... + 1526000.

It is an arithmetic number, because the mean of its divisors is an integer number (7069881).

Almost surely, 2^428766660 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 428766660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763547148).

428766660 is an abundant number, since it is smaller than the sum of its proper divisors (1098327636).

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

428766660 is a wasteful number, since it uses less digits than its factorization.

428766660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 428766660 is about 20706.6815303660. The cubic root of 428766660 is about 754.0619081553.

The spelling of 428766660 in words is "four hundred twenty-eight million, seven hundred sixty-six thousand, six hundred sixty".