420617102500 has 405 divisors, whose sum is σ = 1147143392703. Its totient is φ = 134483328000.

The previous prime is 420617102473. The next prime is 420617102501. The reversal of 420617102500 is 5201716024.

The square root of 420617102500 is 648550.

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

It can be written as a sum of positive squares in 22 ways, for example, as 401623852644 + 18993249856 = 633738^2 + 137816^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (420617102501) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3858872446 + ... + 3858872554.

Almost surely, 2^420617102500 is an apocalyptic number.

420617102500 is the 648550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420617102500

420617102500 is an abundant number, since it is smaller than the sum of its proper divisors (726526290203).

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

420617102500 is a wasteful number, since it uses less digits than its factorization.

420617102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 420617102500 its reverse (5201716024), we get a palindrome (425818818524).

The spelling of 420617102500 in words is "four hundred twenty billion, six hundred seventeen million, one hundred two thousand, five hundred".