420434400 has 144 divisors (see below), whose sum is σ = 1412909568. Its totient is φ = 108480000.

The previous prime is 420434393. The next prime is 420434407. The reversal of 420434400 is 4434024.

It is an interprime number because it is at equal distance from previous prime (420434393) and next prime (420434407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420434407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71575 + ... + 77225.

It is an arithmetic number, because the mean of its divisors is an integer number (9811872).

Almost surely, 2^420434400 is an apocalyptic number.

420434400 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 420434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706454784).

420434400 is an abundant number, since it is smaller than the sum of its proper divisors (992475168).

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

420434400 is a wasteful number, since it uses less digits than its factorization.

420434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 420434400 is about 20504.4970677166. The cubic root of 420434400 is about 749.1453375505.

Adding to 420434400 its reverse (4434024), we get a palindrome (424868424).

The spelling of 420434400 in words is "four hundred twenty million, four hundred thirty-four thousand, four hundred".