428040 has 96 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 107520.

The previous prime is 428039. The next prime is 428041. The reversal of 428040 is 40824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428039) and next prime (428041).

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 191844 = 486^2 + 438^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (428041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10420 + ... + 10460.

2⁴²⁸⁰⁴⁰ is an apocalyptic number.

428040 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 428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

428040 is an abundant number, since it is smaller than the sum of its proper divisors (1046160).

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

428040 is a wasteful number, since it uses less digits than its factorization.

428040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 428040 is about 654.2476595296. The cubic root of 428040 is about 75.3635680624.

Adding to 428040 its reverse (40824), we get a palindrome (468864).

The spelling of 428040 in words is "four hundred twenty-eight thousand, forty".