420605280 has 144 divisors (see below), whose sum is σ = 1510956720. Its totient is φ = 106251264.

The previous prime is 420605267. The next prime is 420605281. The reversal of 420605280 is 82506024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420605281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19674 + ... + 35046.

It is an arithmetic number, because the mean of its divisors is an integer number (10492755).

Almost surely, 2^420605280 is an apocalyptic number.

420605280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755478360).

420605280 is an abundant number, since it is smaller than the sum of its proper divisors (1090351440).

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

420605280 is a wasteful number, since it uses less digits than its factorization.

420605280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420605280 is about 20508.6635351990. The cubic root of 420605280 is about 749.2468172074.

The spelling of 420605280 in words is "four hundred twenty million, six hundred five thousand, two hundred eighty".