420802560 has 208 divisors, whose sum is σ = 1497970080. Its totient is φ = 112066560.

The previous prime is 420802559. The next prime is 420802579. The reversal of 420802560 is 65208024.

420802560 is a `hidden beast` number, since 4 + 20 + 80 + 2 + 560 = 666.

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 15 ways as a sum of consecutive naturals, for example, 552580 + ... + 553340.

Almost surely, 2^420802560 is an apocalyptic number.

420802560 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 420802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748985040).

420802560 is an abundant number, since it is smaller than the sum of its proper divisors (1077167520).

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

420802560 is an equidigital number, since it uses as much as digits as its factorization.

420802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 771 counting only the distinct ones).

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

The square root of 420802560 is about 20513.4726460441. The cubic root of 420802560 is about 749.3639407240.

The spelling of 420802560 in words is "four hundred twenty million, eight hundred two thousand, five hundred sixty".