427071744 has 288 divisors, whose sum is σ = 1421642880. Its totient is φ = 125337600.

The previous prime is 427071737. The next prime is 427071787. The reversal of 427071744 is 447170724.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 427071699 and 427071708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117244 + ... + 3117380.

It is an arithmetic number, because the mean of its divisors is an integer number (4936260).

Almost surely, 2^427071744 is an apocalyptic number.

427071744 is a gapful number since it is divisible by the number (44) 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 427071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710821440).

427071744 is an abundant number, since it is smaller than the sum of its proper divisors (994571136).

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

427071744 is a wasteful number, since it uses less digits than its factorization.

427071744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 427071744 is about 20665.7142146116. The cubic root of 427071744 is about 753.0669929761.

The spelling of 427071744 in words is "four hundred twenty-seven million, seventy-one thousand, seven hundred forty-four".