428480864 has 48 divisors (see below), whose sum is σ = 969742368. Its totient is φ = 182556672.

The previous prime is 428480863. The next prime is 428480891. The reversal of 428480864 is 468084824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428480861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33224 + ... + 44280.

It is an arithmetic number, because the mean of its divisors is an integer number (20202966).

Almost surely, 2^428480864 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 428480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484871184).

428480864 is an abundant number, since it is smaller than the sum of its proper divisors (541261504).

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

428480864 is a wasteful number, since it uses less digits than its factorization.

428480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 428480864 is about 20699.7793224952. The cubic root of 428480864 is about 753.8943300003.

The spelling of 428480864 in words is "four hundred twenty-eight million, four hundred eighty thousand, eight hundred sixty-four".