426420000 has 360 divisors, whose sum is σ = 1596538944. Its totient is φ = 107712000.

The previous prime is 426419999. The next prime is 426420013. The reversal of 426420000 is 24624.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4139949 + ... + 4140051.

Almost surely, 2^426420000 is an apocalyptic number.

426420000 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 426420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798269472).

426420000 is an abundant number, since it is smaller than the sum of its proper divisors (1170118944).

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

426420000 is a wasteful number, since it uses less digits than its factorization.

426420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 426420000 is about 20649.9394672236. The cubic root of 426420000 is about 752.6837187506.

Adding to 426420000 its reverse (24624), we get a palindrome (426444624).

The spelling of 426420000 in words is "four hundred twenty-six million, four hundred twenty thousand".