420020648100 has 405 divisors, whose sum is σ = 1440774130257. Its totient is φ = 105830504640.

The previous prime is 420020648087. The next prime is 420020648101. The reversal of 420020648100 is 1846020024.

The square root of 420020648100 is 648090.

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

420020648100 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 2 + 0 + 648 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151207433316 + 268813214784 = 388854^2 + 518472^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×420020648100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420020648101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1108233711 + ... + 1108234089.

Almost surely, 2^420020648100 is an apocalyptic number.

420020648100 is the 648090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420020648100

420020648100 is an abundant number, since it is smaller than the sum of its proper divisors (1020753482157).

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

420020648100 is a wasteful number, since it uses less digits than its factorization.

420020648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 420020648100 its reverse (1846020024), we get a palindrome (421866668124).

The spelling of 420020648100 in words is "four hundred twenty billion, twenty million, six hundred forty-eight thousand, one hundred".