420434500 has 48 divisors (see below), whose sum is σ = 940670640. Its totient is φ = 164064000.

The previous prime is 420434479. The next prime is 420434501. The reversal of 420434500 is 5434024.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 314920516 + 105513984 = 17746^2 + 10272^2 .

It is not an unprimeable number, because it can be changed into a prime (420434501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10246 + ... + 30754.

It is an arithmetic number, because the mean of its divisors is an integer number (19597305).

Almost surely, 2^420434500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470335320).

420434500 is an abundant number, since it is smaller than the sum of its proper divisors (520236140).

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

420434500 is a wasteful number, since it uses less digits than its factorization.

420434500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20569 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 420434500 is about 20504.4995062059. The cubic root of 420434500 is about 749.1453969451.

Adding to 420434500 its reverse (5434024), we get a palindrome (425868524).

The spelling of 420434500 in words is "four hundred twenty million, four hundred thirty-four thousand, five hundred".