420400224 has 72 divisors (see below), whose sum is σ = 1224706392. Its totient is φ = 136711680.

The previous prime is 420400223. The next prime is 420400237. The reversal of 420400224 is 422004024.

420400224 is a `hidden beast` number, since 42 + 0 + 400 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420400197 and 420400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420400223) 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, 5994 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (17009811).

Almost surely, 2^420400224 is an apocalyptic number.

It is an amenable number.

420400224 is an abundant number, since it is smaller than the sum of its proper divisors (804306168).

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

420400224 is a wasteful number, since it uses less digits than its factorization.

420400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35660 (or 35649 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420400224 is about 20503.6636726220. The cubic root of 420400224 is about 749.1250383197.

Adding to 420400224 its reverse (422004024), we get a palindrome (842404248).

The spelling of 420400224 in words is "four hundred twenty million, four hundred thousand, two hundred twenty-four".