426400 has 72 divisors (see below), whose sum is σ = 1148364. Its totient is φ = 153600.

The previous prime is 426389. The next prime is 426401. The reversal of 426400 is 4624.

426400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 414736 = 108^2 + 644^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426400.

It is not an unprimeable number, because it can be changed into a prime (426401) 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, 10380 + ... + 10420.

2⁴²⁶⁴⁰⁰ is an apocalyptic number.

426400 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 426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574182).

426400 is an abundant number, since it is smaller than the sum of its proper divisors (721964).

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

426400 is a wasteful number, since it uses less digits than its factorization.

426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 426400 is about 652.9931086926. The cubic root of 426400 is about 75.2671951080.

The spelling of 426400 in words is "four hundred twenty-six thousand, four hundred".