422940000 has 480 divisors, whose sum is σ = 1700455680. Its totient is φ = 89856000.

The previous prime is 422939999. The next prime is 422940041. The reversal of 422940000 is 49224.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 7979974 + ... + 7980026.

It is an arithmetic number, because the mean of its divisors is an integer number (3542616).

Almost surely, 2^422940000 is an apocalyptic number.

422940000 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 422940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850227840).

422940000 is an abundant number, since it is smaller than the sum of its proper divisors (1277515680).

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

422940000 is a wasteful number, since it uses less digits than its factorization.

422940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 422940000 is about 20565.5050995593. The cubic root of 422940000 is about 750.6305807864.

Adding to 422940000 its reverse (49224), we get a palindrome (422989224).

The spelling of 422940000 in words is "four hundred twenty-two million, nine hundred forty thousand".