420205344 has 48 divisors (see below), whose sum is σ = 1187891712. Its totient is φ = 129293568.

The previous prime is 420205343. The next prime is 420205363. The reversal of 420205344 is 443502024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×420205344² = 353145062252316672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (420205343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167104 + ... + 169599.

It is an arithmetic number, because the mean of its divisors is an integer number (24747744).

Almost surely, 2^420205344 is an apocalyptic number.

It is an amenable number.

420205344 is an abundant number, since it is smaller than the sum of its proper divisors (767686368).

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

420205344 is a wasteful number, since it uses less digits than its factorization.

420205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336729 (or 336721 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 420205344 is about 20498.9108003328. The cubic root of 420205344 is about 749.0092660602.

Adding to 420205344 its reverse (443502024), we get a palindrome (863707368).

The spelling of 420205344 in words is "four hundred twenty million, two hundred five thousand, three hundred forty-four".