427003200 has 252 divisors, whose sum is σ = 1635130588. Its totient is φ = 105062400.

The previous prime is 427003193. The next prime is 427003223. The reversal of 427003200 is 2300724.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34012224 + 392990976 = 5832^2 + 19824^2 .

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 186060 + ... + 188340.

Almost surely, 2^427003200 is an apocalyptic number.

427003200 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 427003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817565294).

427003200 is an abundant number, since it is smaller than the sum of its proper divisors (1208127388).

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

427003200 is a wasteful number, since it uses less digits than its factorization.

427003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 427003200 is about 20664.0557490537. The cubic root of 427003200 is about 753.0267023329.

Adding to 427003200 its reverse (2300724), we get a palindrome (429303924).

The spelling of 427003200 in words is "four hundred twenty-seven million, three thousand, two hundred".