422763120 has 360 divisors, whose sum is σ = 1613521728. Its totient is φ = 98565120.

The previous prime is 422763119. The next prime is 422763127. The reversal of 422763120 is 21367224.

422763120 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 631 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422763127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8994937 + ... + 8994983.

Almost surely, 2^422763120 is an apocalyptic number.

422763120 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 422763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806760864).

422763120 is an abundant number, since it is smaller than the sum of its proper divisors (1190758608).

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

422763120 is a wasteful number, since it uses less digits than its factorization.

422763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

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

The square root of 422763120 is about 20561.2042448880. The cubic root of 422763120 is about 750.5259244518.

The spelling of 422763120 in words is "four hundred twenty-two million, seven hundred sixty-three thousand, one hundred twenty".