420100434 has 48 divisors (see below), whose sum is σ = 986895000. Its totient is φ = 128383488.

The previous prime is 420100427. The next prime is 420100453. The reversal of 420100434 is 434001024.

It can be written as a sum of positive squares in 4 ways, for example, as 241958025 + 178142409 = 15555^2 + 13347^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28842 + ... + 40890.

Almost surely, 2^420100434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420100434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493447500).

420100434 is an abundant number, since it is smaller than the sum of its proper divisors (566794566).

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

420100434 is a wasteful number, since it uses less digits than its factorization.

420100434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12219 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420100434 is about 20496.3517241484. The cubic root of 420100434 is about 748.9469274095.

Adding to 420100434 its reverse (434001024), we get a palindrome (854101458).

The spelling of 420100434 in words is "four hundred twenty million, one hundred thousand, four hundred thirty-four".