427016772 has 180 divisors, whose sum is σ = 1399125420. Its totient is φ = 112565376.

The previous prime is 427016771. The next prime is 427016797. The reversal of 427016772 is 277610724.

It is a happy number.

427016772 is a `hidden beast` number, since 427 + 0 + 167 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 361988676 = 8064^2 + 19026^2 .

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

It is not an unprimeable number, because it can be changed into a prime (427016771) 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 59 ways as a sum of consecutive naturals, for example, 205354 + ... + 207422.

It is an arithmetic number, because the mean of its divisors is an integer number (7772919).

Almost surely, 2^427016772 is an apocalyptic number.

427016772 is a gapful number since it is divisible by the number (42) 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 427016772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699562710).

427016772 is an abundant number, since it is smaller than the sum of its proper divisors (972108648).

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

427016772 is a wasteful number, since it uses less digits than its factorization.

427016772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 427016772 is about 20664.3841427709. The cubic root of 427016772 is about 753.0346803919.

The spelling of 427016772 in words is "four hundred twenty-seven million, sixteen thousand, seven hundred seventy-two".