426996 has 36 divisors (see below), whose sum is σ = 1119300. Its totient is φ = 137088.

The previous prime is 426973. The next prime is 426997. The reversal of 426996 is 699624.

426996 = T₂₁ + T₂₂ + ... + T₁₃₆.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 108900 = 564^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426997) by changing a digit.

426996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840 + ... + 1248.

2⁴²⁶⁹⁹⁶ 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 426996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559650).

426996 is an abundant number, since it is smaller than the sum of its proper divisors (692304).

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

426996 is a wasteful number, since it uses less digits than its factorization.

426996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 426996 is about 653.4493094342. The cubic root of 426996 is about 75.3022469872.

It can be divided in two parts, 4 and 26996, that added together give a cube (27000 = 30³).

The spelling of 426996 in words is "four hundred twenty-six thousand, nine hundred ninety-six".