420505344 has 180 divisors, whose sum is σ = 1433489904. Its totient is φ = 120102912.

The previous prime is 420505303. The next prime is 420505363. The reversal of 420505344 is 443505024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143704 + ... + 146600.

Almost surely, 2^420505344 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 420505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716744952).

420505344 is an abundant number, since it is smaller than the sum of its proper divisors (1012984560).

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

420505344 is an equidigital number, since it uses as much as digits as its factorization.

420505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 420505344 is about 20506.2269567076. The cubic root of 420505344 is about 749.1874720490.

The spelling of 420505344 in words is "four hundred twenty million, five hundred five thousand, three hundred forty-four".