422785440 has 768 divisors, whose sum is σ = 1950842880. Its totient is φ = 82944000.

The previous prime is 422785367. The next prime is 422785453. The reversal of 422785440 is 44587224.

422785440 is a `hidden beast` number, since 42 + 2 + 78 + 544 + 0 = 666.

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 = 422785395 and 422785404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311820 + ... + 10311860.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^422785440 is an apocalyptic number.

422785440 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 422785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975421440).

422785440 is an abundant number, since it is smaller than the sum of its proper divisors (1528057440).

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

422785440 is a wasteful number, since it uses less digits than its factorization.

422785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 422785440 is about 20561.7470074894. The cubic root of 422785440 is about 750.5391323555.

The spelling of 422785440 in words is "four hundred twenty-two million, seven hundred eighty-five thousand, four hundred forty".