422961000 has 256 divisors, whose sum is σ = 1646161920. Its totient is φ = 87840000.

The previous prime is 422960999. The next prime is 422961001. The reversal of 422961000 is 169224.

It is an interprime number because it is at equal distance from previous prime (422960999) and next prime (422961001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (422961001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 230085 + ... + 231915.

It is an arithmetic number, because the mean of its divisors is an integer number (6430320).

Almost surely, 2^422961000 is an apocalyptic number.

422961000 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 422961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823080960).

422961000 is an abundant number, since it is smaller than the sum of its proper divisors (1223200920).

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

422961000 is a wasteful number, since it uses less digits than its factorization.

422961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 422961000 is about 20566.0156569035. The cubic root of 422961000 is about 750.6430041256.

The spelling of 422961000 in words is "four hundred twenty-two million, nine hundred sixty-one thousand".