427651200 has 288 divisors, whose sum is σ = 1578470400. Its totient is φ = 110131200.

The previous prime is 427651193. The next prime is 427651241. The reversal of 427651200 is 2156724.

427651200 is a `hidden beast` number, since 4 + 2 + 7 + 651 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×427651200² = 365771097722880000, which contains 22 as substring.

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, 892561 + ... + 893039.

It is an arithmetic number, because the mean of its divisors is an integer number (5480800).

Almost surely, 2^427651200 is an apocalyptic number.

427651200 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 427651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789235200).

427651200 is an abundant number, since it is smaller than the sum of its proper divisors (1150819200).

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

427651200 is a wasteful number, since it uses less digits than its factorization.

427651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 427651200 is about 20679.7292051903. The cubic root of 427651200 is about 753.4074291247.

The spelling of 427651200 in words is "four hundred twenty-seven million, six hundred fifty-one thousand, two hundred".