422025120 has 384 divisors, whose sum is σ = 1646023680. Its totient is φ = 100131840.

The previous prime is 422025101. The next prime is 422025127. The reversal of 422025120 is 21520224.

It is a super-2 number, since 2×422025120² = 356210403822028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 422025093 and 422025102.

It is not an unprimeable number, because it can be changed into a prime (422025127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3944107 + ... + 3944213.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^422025120 is an apocalyptic number.

422025120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

422025120 is the 10272-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823011840).

422025120 is an abundant number, since it is smaller than the sum of its proper divisors (1223998560).

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

422025120 is a wasteful number, since it uses less digits than its factorization.

422025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 422025120 is about 20543.2499863094. The cubic root of 422025120 is about 750.0889494502.

Adding to 422025120 its reverse (21520224), we get a palindrome (443545344).

The spelling of 422025120 in words is "four hundred twenty-two million, twenty-five thousand, one hundred twenty".