427171680 has 288 divisors, whose sum is σ = 1653855840. Its totient is φ = 99532800.

The previous prime is 427171669. The next prime is 427171681. The reversal of 427171680 is 86171724.

427171680 is a `hidden beast` number, since 427 + 171 + 68 + 0 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (427171681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355080 + ... + 356280.

It is an arithmetic number, because the mean of its divisors is an integer number (5742555).

Almost surely, 2^427171680 is an apocalyptic number.

427171680 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 427171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826927920).

427171680 is an abundant number, since it is smaller than the sum of its proper divisors (1226684160).

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

427171680 is a wasteful number, since it uses less digits than its factorization.

427171680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 427171680 is about 20668.1319910630. The cubic root of 427171680 is about 753.1257283327.

The spelling of 427171680 in words is "four hundred twenty-seven million, one hundred seventy-one thousand, six hundred eighty".