422087040 has 192 divisors, whose sum is σ = 1471541760. Its totient is φ = 111476736.

The previous prime is 422086997. The next prime is 422087047. The reversal of 422087040 is 40780224.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 422086995 and 422087013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422087047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731232 + ... + 731808.

It is an arithmetic number, because the mean of its divisors is an integer number (7664280).

Almost surely, 2^422087040 is an apocalyptic number.

422087040 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 422087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735770880).

422087040 is an abundant number, since it is smaller than the sum of its proper divisors (1049454720).

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

422087040 is a wasteful number, since it uses less digits than its factorization.

422087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 422087040 is about 20544.7569953991. The cubic root of 422087040 is about 750.1256322875.

The spelling of 422087040 in words is "four hundred twenty-two million, eighty-seven thousand, forty".