428480 has 56 divisors (see below), whose sum is σ = 1109472. Its totient is φ = 156672.

The previous prime is 428473. The next prime is 428489. The reversal of 428480 is 84824.

428480 = T₇ + T₈ + ... + T₁₃₆.

It is a super-2 number, since 2×428480² = 367190220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428480.

It is not an unprimeable number, because it can be changed into a prime (428489) by changing a digit.

428480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4109 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2⁴²⁸⁴⁸⁰ is an apocalyptic number.

428480 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 428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554736).

428480 is an abundant number, since it is smaller than the sum of its proper divisors (680992).

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

428480 is a wasteful number, since it uses less digits than its factorization.

428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 428480 is about 654.5838372585. The cubic root of 428480 is about 75.3893823276.

The spelling of 428480 in words is "four hundred twenty-eight thousand, four hundred eighty".