422406240 has 96 divisors (see below), whose sum is σ = 1343907936. Its totient is φ = 111513600.

The previous prime is 422406203. The next prime is 422406263. The reversal of 422406240 is 42604224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422406240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44124 + ... + 52836.

It is an arithmetic number, because the mean of its divisors is an integer number (13999041).

Almost surely, 2^422406240 is an apocalyptic number.

422406240 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 422406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671953968).

422406240 is an abundant number, since it is smaller than the sum of its proper divisors (921501696).

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

422406240 is a wasteful number, since it uses less digits than its factorization.

422406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 422406240 is about 20552.5239325977. The cubic root of 422406240 is about 750.3146768417.

The spelling of 422406240 in words is "four hundred twenty-two million, four hundred six thousand, two hundred forty".