422071104 has 448 divisors, whose sum is σ = 1536192000. Its totient is φ = 101154816.

The previous prime is 422071103. The next prime is 422071109. The reversal of 422071104 is 401170224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×422071104⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422071103) 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, 14554162 + ... + 14554190.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2^422071104 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 422071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

422071104 is an abundant number, since it is smaller than the sum of its proper divisors (1114120896).

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

422071104 is a wasteful number, since it uses less digits than its factorization.

422071104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 422071104 is about 20544.3691555618. The cubic root of 422071104 is about 750.1161917761.

The spelling of 422071104 in words is "four hundred twenty-two million, seventy-one thousand, one hundred four".