420164820 has 120 divisors (see below), whose sum is σ = 1323352800. Its totient is φ = 111595968.

The previous prime is 420164791. The next prime is 420164837. The reversal of 420164820 is 28461024.

420164820 is a `hidden beast` number, since 420 + 164 + 82 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 678471 + ... + 679089.

It is an arithmetic number, because the mean of its divisors is an integer number (11027940).

Almost surely, 2^420164820 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 420164820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661676400).

420164820 is an abundant number, since it is smaller than the sum of its proper divisors (903187980).

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

420164820 is a wasteful number, since it uses less digits than its factorization.

420164820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 420164820 is about 20497.9223337391. The cubic root of 420164820 is about 748.9851874934.

The spelling of 420164820 in words is "four hundred twenty million, one hundred sixty-four thousand, eight hundred twenty".