422024000 has 112 divisors (see below), whose sum is σ = 1061289216. Its totient is φ = 166208000.

The previous prime is 422023999. The next prime is 422024021. The reversal of 422024000 is 420224.

It is a happy number.

It is a congruent number.

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, 567629 + ... + 568371.

Almost surely, 2^422024000 is an apocalyptic number.

422024000 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 422024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530644608).

422024000 is an abundant number, since it is smaller than the sum of its proper divisors (639265216).

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

422024000 is an equidigital number, since it uses as much as digits as its factorization.

422024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 422024000 is about 20543.2227267291. Note that the first 3 decimals coincide. The cubic root of 422024000 is about 750.0882859034.

Adding to 422024000 its reverse (420224), we get a palindrome (422444224).

The spelling of 422024000 in words is "four hundred twenty-two million, twenty-four thousand".