428740 has 48 divisors (see below), whose sum is σ = 1037232. Its totient is φ = 147456.

The previous prime is 428731. The next prime is 428741. The reversal of 428740 is 47824.

428740 = T₄₆₁ + T₄₆₂ + ... + T₄₆₄.

It can be written as a sum of positive squares in 8 ways, for example, as 8836 + 419904 = 94^2 + 648^2 .

It is not an unprimeable number, because it can be changed into a prime (428741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372 + ... + 4468.

It is an arithmetic number, because the mean of its divisors is an integer number (21609).

2⁴²⁸⁷⁴⁰ 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 428740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518616).

428740 is an abundant number, since it is smaller than the sum of its proper divisors (608492).

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

428740 is a wasteful number, since it uses less digits than its factorization.

428740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 428740 is about 654.7824066054. The cubic root of 428740 is about 75.4046279058.

It can be divided in two parts, 4 and 28740, that multiplied together give a triangular number (114960 = T₄₇₉).

The spelling of 428740 in words is "four hundred twenty-eight thousand, seven hundred forty".