422461000 has 64 divisors (see below), whose sum is σ = 1064634480. Its totient is φ = 155980800.

The previous prime is 422460977. The next prime is 422461019. The reversal of 422461000 is 164224.

It can be written as a sum of positive squares in 8 ways, for example, as 10614564 + 411846436 = 3258^2 + 20294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 29248.

Almost surely, 2^422461000 is an apocalyptic number.

422461000 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 422461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532317240).

422461000 is an abundant number, since it is smaller than the sum of its proper divisors (642173480).

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

422461000 is a wasteful number, since it uses less digits than its factorization.

422461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32531 (or 32517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 422461000 is about 20553.8560859027. The cubic root of 422461000 is about 750.3470985979.

The spelling of 422461000 in words is "four hundred twenty-two million, four hundred sixty-one thousand".