420060816 has 200 divisors, whose sum is σ = 1463190080. Its totient is φ = 113654016.

The previous prime is 420060793. The next prime is 420060829. The reversal of 420060816 is 618060024.

420060816 is a `hidden beast` number, since 42 + 0 + 0 + 608 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420060816.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171150 + ... + 173586.

Almost surely, 2^420060816 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 420060816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731595040).

420060816 is an abundant number, since it is smaller than the sum of its proper divisors (1043129264).

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

420060816 is a wasteful number, since it uses less digits than its factorization.

420060816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420060816 is about 20495.3852366819. The cubic root of 420060816 is about 748.9233832681.

The spelling of 420060816 in words is "four hundred twenty million, sixty thousand, eight hundred sixteen".