420615360 has 504 divisors, whose sum is σ = 1707477408. Its totient is φ = 94617600.

The previous prime is 420615323. The next prime is 420615401. The reversal of 420615360 is 63516024.

420615360 is a `hidden beast` number, since 42 + 0 + 615 + 3 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924125 + ... + 5924195.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^420615360 is an apocalyptic number.

420615360 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 420615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704).

420615360 is an abundant number, since it is smaller than the sum of its proper divisors (1286862048).

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

420615360 is a wasteful number, since it uses less digits than its factorization.

420615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420615360 is about 20508.9092835285. The cubic root of 420615360 is about 749.2528025084.

The spelling of 420615360 in words is "four hundred twenty million, six hundred fifteen thousand, three hundred sixty".