422015040 has 252 divisors, whose sum is σ = 1522889004. Its totient is φ = 107255808.

The previous prime is 422015039. The next prime is 422015053. The reversal of 422015040 is 40510224.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 312016896 = 10488^2 + 17664^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 1523382 + ... + 1523658.

Almost surely, 2^422015040 is an apocalyptic number.

422015040 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 422015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761444502).

422015040 is an abundant number, since it is smaller than the sum of its proper divisors (1100873964).

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

422015040 is a wasteful number, since it uses less digits than its factorization.

422015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 310 counting only the distinct ones).

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

The square root of 422015040 is about 20543.0046487849. The cubic root of 422015040 is about 750.0829774860.

Adding to 422015040 its reverse (40510224), we get a palindrome (462525264).

The spelling of 422015040 in words is "four hundred twenty-two million, fifteen thousand, forty".