420798240 has 288 divisors, whose sum is σ = 1519015680. Its totient is φ = 109983744.

The previous prime is 420798223. The next prime is 420798241. The reversal of 420798240 is 42897024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420798195 and 420798204.

It is not an unprimeable number, because it can be changed into a prime (420798241) 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 47 ways as a sum of consecutive naturals, for example, 3071452 + ... + 3071588.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^420798240 is an apocalyptic number.

420798240 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 420798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759507840).

420798240 is an abundant number, since it is smaller than the sum of its proper divisors (1098217440).

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

420798240 is a wasteful number, since it uses less digits than its factorization.

420798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 420798240 is about 20513.3673491214. The cubic root of 420798240 is about 749.3613763675.

The spelling of 420798240 in words is "four hundred twenty million, seven hundred ninety-eight thousand, two hundred forty".