422029440 has 320 divisors, whose sum is σ = 1723930560. Its totient is φ = 96380928.

The previous prime is 422029429. The next prime is 422029451. The reversal of 422029440 is 44920224.

It is an interprime number because it is at equal distance from previous prime (422029429) and next prime (422029451).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362299 + ... + 363461.

It is an arithmetic number, because the mean of its divisors is an integer number (5387283).

Almost surely, 2^422029440 is an apocalyptic number.

422029440 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 422029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861965280).

422029440 is an abundant number, since it is smaller than the sum of its proper divisors (1301901120).

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

422029440 is a wasteful number, since it uses less digits than its factorization.

422029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 422029440 is about 20543.3551300658. The cubic root of 422029440 is about 750.0915088344.

Adding to 422029440 its reverse (44920224), we get a palindrome (466949664).

The spelling of 422029440 in words is "four hundred twenty-two million, twenty-nine thousand, four hundred forty".