420817680 has 120 divisors (see below), whose sum is σ = 1465656192. Its totient is φ = 112212864.

The previous prime is 420817673. The next prime is 420817693. The reversal of 420817680 is 86718024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8617 + ... + 30263.

Almost surely, 2^420817680 is an apocalyptic number.

420817680 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 420817680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732828096).

420817680 is an abundant number, since it is smaller than the sum of its proper divisors (1044838512).

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

420817680 is a wasteful number, since it uses less digits than its factorization.

420817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21675 (or 21657 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 420817680 is about 20513.8411810173. The cubic root of 420817680 is about 749.3729158334.

The spelling of 420817680 in words is "four hundred twenty million, eight hundred seventeen thousand, six hundred eighty".