422535456 has 144 divisors (see below), whose sum is σ = 1417747968. Its totient is φ = 116812800.

The previous prime is 422535439. The next prime is 422535467. The reversal of 422535456 is 654535224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 422535456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59116 + ... + 65876.

It is an arithmetic number, because the mean of its divisors is an integer number (9845472).

Almost surely, 2^422535456 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 422535456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708873984).

422535456 is an abundant number, since it is smaller than the sum of its proper divisors (995212512).

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

422535456 is a wasteful number, since it uses less digits than its factorization.

422535456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6804 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 422535456 is about 20555.6672477446. The cubic root of 422535456 is about 750.3911772717.

The spelling of 422535456 in words is "four hundred twenty-two million, five hundred thirty-five thousand, four hundred fifty-six".