428400 has 180 divisors, whose sum is σ = 1798992. Its totient is φ = 92160.

The previous prime is 428369. The next prime is 428401. The reversal of 428400 is 4824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428401) by changing a digit.

428400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25192 + ... + 25208.

2⁴²⁸⁴⁰⁰ is an apocalyptic number.

428400 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 428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899496).

428400 is an abundant number, since it is smaller than the sum of its proper divisors (1370592).

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

428400 is a wasteful number, since it uses less digits than its factorization.

428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

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

The square root of 428400 is about 654.5227268781. The cubic root of 428400 is about 75.3846901397.

It can be divided in two parts, 428 and 400, that added together give a palindrome (828).

The spelling of 428400 in words is "four hundred twenty-eight thousand, four hundred".