427056000 has 512 divisors, whose sum is σ = 1710858240. Its totient is φ = 92160000.

The previous prime is 427055947. The next prime is 427056017. The reversal of 427056000 is 650724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 10415980 + ... + 10416020.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^427056000 is an apocalyptic number.

427056000 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 427056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

427056000 is an abundant number, since it is smaller than the sum of its proper divisors (1283802240).

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

427056000 is a wasteful number, since it uses less digits than its factorization.

427056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 427056000 is about 20665.3332903198. Note that the first 3 decimals coincide. The cubic root of 427056000 is about 753.0577389241.

The spelling of 427056000 in words is "four hundred twenty-seven million, fifty-six thousand".