420881700 has 144 divisors (see below), whose sum is σ = 1254989120. Its totient is φ = 108864000.

The previous prime is 420881693. The next prime is 420881701. The reversal of 420881700 is 7188024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (420881701) by changing a digit.

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, 1994595 + ... + 1994805.

Almost surely, 2^420881700 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 420881700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627494560).

420881700 is an abundant number, since it is smaller than the sum of its proper divisors (834107420).

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

420881700 is a wasteful number, since it uses less digits than its factorization.

420881700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 420881700 is about 20515.4015315324. The cubic root of 420881700 is about 749.4109152044.

The spelling of 420881700 in words is "four hundred twenty million, eight hundred eighty-one thousand, seven hundred".