422914464 has 288 divisors, whose sum is σ = 1478655360. Its totient is φ = 111974400.

The previous prime is 422914463. The next prime is 422914469. The reversal of 422914464 is 464419224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (422914463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2336454 + ... + 2336634.

It is an arithmetic number, because the mean of its divisors is an integer number (5134220).

Almost surely, 2^422914464 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 422914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739327680).

422914464 is an abundant number, since it is smaller than the sum of its proper divisors (1055740896).

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

422914464 is a wasteful number, since it uses less digits than its factorization.

422914464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 422914464 is about 20564.8842447508. The cubic root of 422914464 is about 750.6154734517.

The spelling of 422914464 in words is "four hundred twenty-two million, nine hundred fourteen thousand, four hundred sixty-four".