427720 has 48 divisors (see below), whose sum is σ = 1049940. Its totient is φ = 156672.

The previous prime is 427717. The next prime is 427723. The reversal of 427720 is 27724.

427720 = T₁₇ + T₁₈ + ... + T₁₃₆.

It is an interprime number because it is at equal distance from previous prime (427717) and next prime (427723).

It can be written as a sum of positive squares in 6 ways, for example, as 381924 + 45796 = 618^2 + 214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427691 and 427700.

It is not an unprimeable number, because it can be changed into a prime (427723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11542 + ... + 11578.

2⁴²⁷⁷²⁰ is an apocalyptic number.

427720 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 427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524970).

427720 is an abundant number, since it is smaller than the sum of its proper divisors (622220).

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

427720 is a wasteful number, since it uses less digits than its factorization.

427720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 427720 is about 654.0030580968. The cubic root of 427720 is about 75.3447829379.

The spelling of 427720 in words is "four hundred twenty-seven thousand, seven hundred twenty", and thus it is an iban number.