427648 has 32 divisors (see below), whose sum is σ = 921060. Its totient is φ = 196608.

The previous prime is 427621. The next prime is 427681. The reversal of 427648 is 846724.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 7744 = 648^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1536 + ... + 1792.

2⁴²⁷⁶⁴⁸ 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 427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460530).

427648 is an abundant number, since it is smaller than the sum of its proper divisors (493412).

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

427648 is a wasteful number, since it uses less digits than its factorization.

427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 427648 is about 653.9480101659. The cubic root of 427648 is about 75.3405549938.

It can be divided in two parts, 4 and 27648, that multiplied together give a cube (110592 = 48³).

The spelling of 427648 in words is "four hundred twenty-seven thousand, six hundred forty-eight".