427944600 has 384 divisors, whose sum is σ = 1604064000. Its totient is φ = 104509440.

The previous prime is 427944599. The next prime is 427944607. The reversal of 427944600 is 6449724.

427944600 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 44 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427944607) 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 95 ways as a sum of consecutive naturals, for example, 4411752 + ... + 4411848.

It is an arithmetic number, because the mean of its divisors is an integer number (4177250).

Almost surely, 2^427944600 is an apocalyptic number.

427944600 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 427944600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802032000).

427944600 is an abundant number, since it is smaller than the sum of its proper divisors (1176119400).

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

427944600 is a wasteful number, since it uses less digits than its factorization.

427944600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427944600 is about 20686.8218922095. The cubic root of 427944600 is about 753.5796872694.

The spelling of 427944600 in words is "four hundred twenty-seven million, nine hundred forty-four thousand, six hundred".