427960 has 32 divisors (see below), whose sum is σ = 1038240. Its totient is φ = 157824.

The previous prime is 427957. The next prime is 427967. The reversal of 427960 is 69724.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4³ + 2¹⁷ + 9² + 7⁵ + 6⁷ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (32445).

2⁴²⁷⁹⁶⁰ is an apocalyptic number.

427960 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 427960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519120).

427960 is an abundant number, since it is smaller than the sum of its proper divisors (610280).

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

427960 is a wasteful number, since it uses less digits than its factorization.

427960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 427960 is about 654.1865177455. The cubic root of 427960 is about 75.3588726592.

The spelling of 427960 in words is "four hundred twenty-seven thousand, nine hundred sixty".