428400000 has 576 divisors, whose sum is σ = 1864568160. Its totient is φ = 92160000.

The previous prime is 428399981. The next prime is 428400019. The reversal of 428400000 is 4824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428399981) and next prime (428400019).

It is a tau number, because it is divible by the number of its divisors (576).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25199992 + ... + 25200008.

Almost surely, 2^428400000 is an apocalyptic number.

428400000 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 428400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932284080).

428400000 is an abundant number, since it is smaller than the sum of its proper divisors (1436168160).

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

428400000 is an equidigital number, since it uses as much as digits as its factorization.

428400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

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

The square root of 428400000 is about 20697.8259727924. The cubic root of 428400000 is about 753.8469013972.

Adding to 428400000 its reverse (4824), we get a palindrome (428404824).

The spelling of 428400000 in words is "four hundred twenty-eight million, four hundred thousand".