428602400 has 72 divisors (see below), whose sum is σ = 1068681600. Its totient is φ = 167778560.

The previous prime is 428602387. The next prime is 428602403. The reversal of 428602400 is 4206824.

It is a self number, because there is not a number n which added to its sum of digits gives 428602400.

It is not an unprimeable number, because it can be changed into a prime (428602403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31901 + ... + 43299.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^428602400 is an apocalyptic number.

428602400 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 428602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

428602400 is an abundant number, since it is smaller than the sum of its proper divisors (640079200).

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

428602400 is a wasteful number, since it uses less digits than its factorization.

428602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11466 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 428602400 is about 20702.7147978230. The cubic root of 428602400 is about 753.9656024478.

The spelling of 428602400 in words is "four hundred twenty-eight million, six hundred two thousand, four hundred".