420408494208 has 576 divisors, whose sum is σ = 1324547128320. Its totient is φ = 127919554560.

The previous prime is 420408494153. The next prime is 420408494221. The reversal of 420408494208 is 802494804024.

420408494208 is a `hidden beast` number, since 420 + 40 + 84 + 94 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2579193135 + ... + 2579193297.

Almost surely, 2^420408494208 is an apocalyptic number.

420408494208 is a gapful number since it is divisible by the number (48) 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 420408494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662273564160).

420408494208 is an abundant number, since it is smaller than the sum of its proper divisors (904138634112).

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

420408494208 is a wasteful number, since it uses less digits than its factorization.

420408494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 420408494208 in words is "four hundred twenty billion, four hundred eight million, four hundred ninety-four thousand, two hundred eight".