420400034 has 8 divisors (see below), whose sum is σ = 634245660. Its totient is φ = 208984816.

The previous prime is 420399997. The next prime is 420400067. The reversal of 420400034 is 430004024.

It can be written as a sum of positive squares in 2 ways, for example, as 282408025 + 137992009 = 16805^2 + 11747^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×420400034³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420399985 and 420400021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 607169 + ... + 607860.

Almost surely, 2^420400034 is an apocalyptic number.

420400034 is a deficient number, since it is larger than the sum of its proper divisors (213845626).

420400034 is a wasteful number, since it uses less digits than its factorization.

420400034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215204.

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420400034 is about 20503.6590393032. The cubic root of 420400034 is about 749.1249254639.

Adding to 420400034 its reverse (430004024), we get a palindrome (850404058).

The spelling of 420400034 in words is "four hundred twenty million, four hundred thousand, thirty-four".