420372834 has 64 divisors (see below), whose sum is σ = 1044111360. Its totient is φ = 110108160.

The previous prime is 420372811. The next prime is 420372851. The reversal of 420372834 is 438273024.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420372795 and 420372804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16242 + ... + 33234.

It is an arithmetic number, because the mean of its divisors is an integer number (16314240).

Almost surely, 2^420372834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420372834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522055680).

420372834 is an abundant number, since it is smaller than the sum of its proper divisors (623738526).

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

420372834 is a wasteful number, since it uses less digits than its factorization.

420372834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17055.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 420372834 is about 20502.9957323314. The cubic root of 420372834 is about 749.1087689179.

The spelling of 420372834 in words is "four hundred twenty million, three hundred seventy-two thousand, eight hundred thirty-four".