420660576 has 288 divisors, whose sum is σ = 1449197568. Its totient is φ = 113218560.

The previous prime is 420660553. The next prime is 420660577. The reversal of 420660576 is 675066024.

420660576 is a `hidden beast` number, since 4 + 20 + 6 + 60 + 576 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 420660576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420660577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312225 + ... + 3312351.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936).

Almost surely, 2^420660576 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 420660576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724598784).

420660576 is an abundant number, since it is smaller than the sum of its proper divisors (1028536992).

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

420660576 is a wasteful number, since it uses less digits than its factorization.

420660576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 420660576 is about 20510.0116040923. The cubic root of 420660576 is about 749.2796496821.

The spelling of 420660576 in words is "four hundred twenty million, six hundred sixty thousand, five hundred seventy-six".