420042735 has 48 divisors (see below), whose sum is σ = 833564160. Its totient is φ = 191678400.

The previous prime is 420042703. The next prime is 420042737. The reversal of 420042735 is 537240024.

420042735 is a `hidden beast` number, since 4 + 200 + 427 + 35 = 666.

It is not a de Polignac number, because 420042735 - 2⁵ = 420042703 is a prime.

It is a super-4 number, since 4×420042735⁴ (a number of 36 digits) contains 4444 as substring.

420042735 is a modest number, since divided by 42735 gives 420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 420042699 and 420042708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420042737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288760 + ... + 290210.

It is an arithmetic number, because the mean of its divisors is an integer number (17365920).

Almost surely, 2^420042735 is an apocalyptic number.

420042735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420042735 is a deficient number, since it is larger than the sum of its proper divisors (413521425).

420042735 is a wasteful number, since it uses less digits than its factorization.

420042735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 420042735 is about 20494.9441326392. The cubic root of 420042735 is about 748.9126376193.

Adding to 420042735 its reverse (537240024), we get a palindrome (957282759).

The spelling of 420042735 in words is "four hundred twenty million, forty-two thousand, seven hundred thirty-five".