422365440 has 288 divisors, whose sum is σ = 1624734720. Its totient is φ = 91348992.

The previous prime is 422365429. The next prime is 422365501. The reversal of 422365440 is 44563224.

422365440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422365398 and 422365407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510307 + ... + 511133.

It is an arithmetic number, because the mean of its divisors is an integer number (5641440).

Almost surely, 2^422365440 is an apocalyptic number.

422365440 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 422365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812367360).

422365440 is an abundant number, since it is smaller than the sum of its proper divisors (1202369280).

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

422365440 is a wasteful number, since it uses less digits than its factorization.

422365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 422365440 is about 20551.5313298061. The cubic root of 422365440 is about 750.2905185619.

The spelling of 422365440 in words is "four hundred twenty-two million, three hundred sixty-five thousand, four hundred forty".