426638000 has 40 divisors (see below), whose sum is σ = 1031615520. Its totient is φ = 170654400.

The previous prime is 426637987. The next prime is 426638021. The reversal of 426638000 is 836624.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104660 + ... + 108659.

It is an arithmetic number, because the mean of its divisors is an integer number (25790388).

Almost surely, 2^426638000 is an apocalyptic number.

426638000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426638000 is an abundant number, since it is smaller than the sum of its proper divisors (604977520).

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

426638000 is a wasteful number, since it uses less digits than its factorization.

426638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213342 (or 213326 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 426638000 is about 20655.2172586008. The cubic root of 426638000 is about 752.8119624984.

The spelling of 426638000 in words is "four hundred twenty-six million, six hundred thirty-eight thousand".