420410100 has 288 divisors, whose sum is σ = 1439907840. Its totient is φ = 93632000.

The previous prime is 420410033. The next prime is 420410117. The reversal of 420410100 is 1014024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2201005 + ... + 2201195.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^420410100 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 420410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

420410100 is an abundant number, since it is smaller than the sum of its proper divisors (1019497740).

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

420410100 is a wasteful number, since it uses less digits than its factorization.

420410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 420410100 is about 20503.9045062154. The cubic root of 420410100 is about 749.1309043972.

Adding to 420410100 its reverse (1014024), we get a palindrome (421424124).

The spelling of 420410100 in words is "four hundred twenty million, four hundred ten thousand, one hundred".