420404412 has 48 divisors (see below), whose sum is σ = 1038441600. Its totient is φ = 132004800.

The previous prime is 420404401. The next prime is 420404461. The reversal of 420404412 is 214404024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35662 + ... + 45962.

It is an arithmetic number, because the mean of its divisors is an integer number (21634200).

Almost surely, 2^420404412 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 420404412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519220800).

420404412 is an abundant number, since it is smaller than the sum of its proper divisors (618037188).

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

420404412 is a wasteful number, since it uses less digits than its factorization.

420404412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420404412 is about 20503.7658004572. The cubic root of 420404412 is about 749.1275258899.

Adding to 420404412 its reverse (214404024), we get a palindrome (634808436).

The spelling of 420404412 in words is "four hundred twenty million, four hundred four thousand, four hundred twelve".