420792100 has 36 divisors (see below), whose sum is σ = 917941248. Its totient is φ = 167428000.

The previous prime is 420792077. The next prime is 420792101. The reversal of 420792100 is 1297024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420792101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8085 + ... + 30115.

It is an arithmetic number, because the mean of its divisors is an integer number (25498368).

Almost surely, 2^420792100 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 420792100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458970624).

420792100 is an abundant number, since it is smaller than the sum of its proper divisors (497149148).

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

420792100 is a wasteful number, since it uses less digits than its factorization.

420792100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22236 (or 22229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 420792100 is about 20513.2176900651. The cubic root of 420792100 is about 749.3577316269.

The spelling of 420792100 in words is "four hundred twenty million, seven hundred ninety-two thousand, one hundred".