422766000 has 160 divisors (see below), whose sum is σ = 1514635200. Its totient is φ = 112723200.

The previous prime is 422765977. The next prime is 422766037. The reversal of 422766000 is 667224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50086 + ... + 57914.

It is an arithmetic number, because the mean of its divisors is an integer number (9466470).

Almost surely, 2^422766000 is an apocalyptic number.

422766000 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 422766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757317600).

422766000 is an abundant number, since it is smaller than the sum of its proper divisors (1091869200).

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

422766000 is a wasteful number, since it uses less digits than its factorization.

422766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 422766000 is about 20561.2742795771. The cubic root of 422766000 is about 750.5276287235.

The spelling of 422766000 in words is "four hundred twenty-two million, seven hundred sixty-six thousand".