420754100 has 72 divisors (see below), whose sum is σ = 987337848. Its totient is φ = 154713600.

The previous prime is 420754057. The next prime is 420754133. The reversal of 420754100 is 1457024.

It can be written as a sum of positive squares in 12 ways, for example, as 283114276 + 137639824 = 16826^2 + 11732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411590 + ... + 412610.

Almost surely, 2^420754100 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 420754100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493668924).

420754100 is an abundant number, since it is smaller than the sum of its proper divisors (566583748).

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

420754100 is a wasteful number, since it uses less digits than its factorization.

420754100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 420754100 is about 20512.2914370872. The cubic root of 420754100 is about 749.3351738119.

The spelling of 420754100 in words is "four hundred twenty million, seven hundred fifty-four thousand, one hundred".