420531400 has 96 divisors (see below), whose sum is σ = 1012033440. Its totient is φ = 162408960.

The previous prime is 420531343. The next prime is 420531403. The reversal of 420531400 is 4135024.

It is not an unprimeable number, because it can be changed into a prime (420531403) 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 23 ways as a sum of consecutive naturals, for example, 919972 + ... + 920428.

It is an arithmetic number, because the mean of its divisors is an integer number (10542015).

Almost surely, 2^420531400 is an apocalyptic number.

420531400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506016720).

420531400 is an abundant number, since it is smaller than the sum of its proper divisors (591502040).

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

420531400 is a wasteful number, since it uses less digits than its factorization.

420531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 420531400 is about 20506.8622660806. The cubic root of 420531400 is about 749.2029458322.

Adding to 420531400 its reverse (4135024), we get a palindrome (424666424).

The spelling of 420531400 in words is "four hundred twenty million, five hundred thirty-one thousand, four hundred".