422001792 has 128 divisors (see below), whose sum is σ = 1299888000. Its totient is φ = 134525952.

The previous prime is 422001787. The next prime is 422001793. The reversal of 422001792 is 297100224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×422001792² = 356171024902422528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (422001793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76834 + ... + 82142.

It is an arithmetic number, because the mean of its divisors is an integer number (10155375).

Almost surely, 2^422001792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649944000).

422001792 is an abundant number, since it is smaller than the sum of its proper divisors (877886208).

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

422001792 is a wasteful number, since it uses less digits than its factorization.

422001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 422001792 is about 20542.6822007254. The cubic root of 422001792 is about 750.0751284740.

The spelling of 422001792 in words is "four hundred twenty-two million, one thousand, seven hundred ninety-two".