420400353 has 16 divisors (see below), whose sum is σ = 569327616. Its totient is φ = 275904720.

The previous prime is 420400339. The next prime is 420400369. The reversal of 420400353 is 353004024.

It is a happy number.

It is not a de Polignac number, because 420400353 - 2⁹ = 420399841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420400303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45700 + ... + 54122.

It is an arithmetic number, because the mean of its divisors is an integer number (35582976).

Almost surely, 2^420400353 is an apocalyptic number.

It is an amenable number.

420400353 is a deficient number, since it is larger than the sum of its proper divisors (148927263).

420400353 is a wasteful number, since it uses less digits than its factorization.

420400353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 420400353 is about 20503.6668184010. Note that the first 3 decimals coincide. The cubic root of 420400353 is about 749.1251149428.

Adding to 420400353 its reverse (353004024), we get a palindrome (773404377).

The spelling of 420400353 in words is "four hundred twenty million, four hundred thousand, three hundred fifty-three".