426409000 has 48 divisors (see below), whose sum is σ = 999327420. Its totient is φ = 170302400.

The previous prime is 426408947. The next prime is 426409013. The reversal of 426409000 is 904624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4435236 + 421973764 = 2106^2 + 20542^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652674 + ... + 653326.

Almost surely, 2^426409000 is an apocalyptic number.

426409000 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 426409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499663710).

426409000 is an abundant number, since it is smaller than the sum of its proper divisors (572918420).

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

426409000 is an frugal number, since it uses more digits than its factorization.

426409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 426409000 is about 20649.6731208995. The cubic root of 426409000 is about 752.6772465776.

The spelling of 426409000 in words is "four hundred twenty-six million, four hundred nine thousand".