420126400 has 84 divisors (see below), whose sum is σ = 1044816808. Its totient is φ = 166256640.

The previous prime is 420126361. The next prime is 420126401. The reversal of 420126400 is 4621024.

It is not an unprimeable number, because it can be changed into a prime (420126401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153847 + ... + 156553.

Almost surely, 2^420126400 is an apocalyptic number.

420126400 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 420126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522408404).

420126400 is an abundant number, since it is smaller than the sum of its proper divisors (624690408).

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

420126400 is a wasteful number, since it uses less digits than its factorization.

420126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420126400 is about 20496.9851441621. The cubic root of 420126400 is about 748.9623576525.

Adding to 420126400 its reverse (4621024), we get a palindrome (424747424).

The spelling of 420126400 in words is "four hundred twenty million, one hundred twenty-six thousand, four hundred".