428490 has 60 divisors (see below), whose sum is σ = 1204434. Its totient is φ = 109296.

The previous prime is 428489. The next prime is 428503. The reversal of 428490 is 94824.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 42849 = 621^2 + 207^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18619 + ... + 18641.

2⁴²⁸⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602217).

428490 is an abundant number, since it is smaller than the sum of its proper divisors (775944).

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

428490 is a wasteful number, since it uses less digits than its factorization.

428490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 428490 is about 654.5914756549. The cubic root of 428490 is about 75.3899688100.

The spelling of 428490 in words is "four hundred twenty-eight thousand, four hundred ninety".