420772100 has 144 divisors (see below), whose sum is σ = 1163675520. Its totient is φ = 128563200.

The previous prime is 420772087. The next prime is 420772123. The reversal of 420772100 is 1277024.

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 47 ways as a sum of consecutive naturals, for example, 225170 + ... + 227030.

It is an arithmetic number, because the mean of its divisors is an integer number (8081080).

Almost surely, 2^420772100 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 420772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581837760).

420772100 is an abundant number, since it is smaller than the sum of its proper divisors (742903420).

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

420772100 is a wasteful number, since it uses less digits than its factorization.

420772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 420772100 is about 20512.7301937114. The cubic root of 420772100 is about 749.3458592620.

The spelling of 420772100 in words is "four hundred twenty million, seven hundred seventy-two thousand, one hundred".