420660100 has 81 divisors (see below), whose sum is σ = 1065502767. Its totient is φ = 143734080.

The previous prime is 420660083. The next prime is 420660113. The reversal of 420660100 is 1066024.

The square root of 420660100 is 20510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66618244 + 354041856 = 8162^2 + 18816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1435554 + ... + 1435846.

Almost surely, 2^420660100 is an apocalyptic number.

420660100 is the 20510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420660100

420660100 is an abundant number, since it is smaller than the sum of its proper divisors (644842667).

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

420660100 is a wasteful number, since it uses less digits than its factorization.

420660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 420660100 is about 749.2793670653.

The spelling of 420660100 in words is "four hundred twenty million, six hundred sixty thousand, one hundred".