427771136 has 72 divisors (see below), whose sum is σ = 973773864. Its totient is φ = 185794560.

The previous prime is 427771133. The next prime is 427771147. The reversal of 427771136 is 631177724.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 409657600 = 4256^2 + 20240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 427771136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427771133) 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 7 ways as a sum of consecutive naturals, for example, 52796 + ... + 60356.

It is an arithmetic number, because the mean of its divisors is an integer number (13524637).

Almost surely, 2^427771136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486886932).

427771136 is an abundant number, since it is smaller than the sum of its proper divisors (546002728).

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

427771136 is a wasteful number, since it uses less digits than its factorization.

427771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7593 counting only the distinct ones).

The product of its digits is 49392, while the sum is 38.

The square root of 427771136 is about 20682.6288464499. The cubic root of 427771136 is about 753.4778542963.

The spelling of 427771136 in words is "four hundred twenty-seven million, seven hundred seventy-one thousand, one hundred thirty-six".