428659920 has 240 divisors, whose sum is σ = 1589554512. Its totient is φ = 102850560.

The previous prime is 428659897. The next prime is 428659921. The reversal of 428659920 is 29956824.

It can be written as a sum of positive squares in 8 ways, for example, as 235561104 + 193098816 = 15348^2 + 13896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428659921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383202 + ... + 384318.

Almost surely, 2^428659920 is an apocalyptic number.

428659920 is a gapful number since it is divisible by the number (40) 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 428659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794777256).

428659920 is an abundant number, since it is smaller than the sum of its proper divisors (1160894592).

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

428659920 is a wasteful number, since it uses less digits than its factorization.

428659920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 428659920 is about 20704.1039410065. The cubic root of 428659920 is about 753.9993292472. Note that the first 3 decimals are identical.

The spelling of 428659920 in words is "four hundred twenty-eight million, six hundred fifty-nine thousand, nine hundred twenty".