422964864 has 288 divisors, whose sum is σ = 1451174400. Its totient is φ = 117863424.

The previous prime is 422964863. The next prime is 422964887. The reversal of 422964864 is 468469224.

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

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

It is not an unprimeable number, because it can be changed into a prime (422964863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3330369 + ... + 3330495.

It is an arithmetic number, because the mean of its divisors is an integer number (5038800).

Almost surely, 2^422964864 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 422964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725587200).

422964864 is an abundant number, since it is smaller than the sum of its proper divisors (1028209536).

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

422964864 is a wasteful number, since it uses less digits than its factorization.

422964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 422964864 is about 20566.1095980742. The cubic root of 422964864 is about 750.6452899752.

The spelling of 422964864 in words is "four hundred twenty-two million, nine hundred sixty-four thousand, eight hundred sixty-four".