420785442 has 240 divisors, whose sum is σ = 1231528320. Its totient is φ = 106142400.

The previous prime is 420785441. The next prime is 420785459. The reversal of 420785442 is 244587024.

420785442 is a `hidden beast` number, since 4 + 207 + 8 + 5 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420785397 and 420785406.

It is not an unprimeable number, because it can be changed into a prime (420785441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5326359 + ... + 5326437.

It is an arithmetic number, because the mean of its divisors is an integer number (5131368).

Almost surely, 2^420785442 is an apocalyptic number.

420785442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420785442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615764160).

420785442 is an abundant number, since it is smaller than the sum of its proper divisors (810742878).

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

420785442 is a wasteful number, since it uses less digits than its factorization.

420785442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

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

The square root of 420785442 is about 20513.0554038154. The cubic root of 420785442 is about 749.3537793584.

The spelling of 420785442 in words is "four hundred twenty million, seven hundred eighty-five thousand, four hundred forty-two".