422936640 has 588 divisors, whose sum is σ = 1803987756. Its totient is φ = 94058496.

The previous prime is 422936623. The next prime is 422936641. The reversal of 422936640 is 46639224.

422936640 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 146313216 = 16632^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a junction number, because it is equal to n+sod(n) for n = 422936595 and 422936604.

It is not an unprimeable number, because it can be changed into a prime (422936641) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11430702 + ... + 11430738.

Almost surely, 2^422936640 is an apocalyptic number.

422936640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901993878).

422936640 is an abundant number, since it is smaller than the sum of its proper divisors (1381051116).

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

422936640 is an equidigital number, since it uses as much as digits as its factorization.

422936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 422936640 is about 20565.4234092080. The cubic root of 422936640 is about 750.6285930139.

The spelling of 422936640 in words is "four hundred twenty-two million, nine hundred thirty-six thousand, six hundred forty".