420164192 has 48 divisors (see below), whose sum is σ = 954600192. Its totient is φ = 178312320.

The previous prime is 420164189. The next prime is 420164203. The reversal of 420164192 is 291461024.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13967 + ... + 32177.

It is an arithmetic number, because the mean of its divisors is an integer number (19887504).

Almost surely, 2^420164192 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 420164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477300096).

420164192 is an abundant number, since it is smaller than the sum of its proper divisors (534436000).

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

420164192 is a wasteful number, since it uses less digits than its factorization.

420164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18331 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 420164192 is about 20497.9070151077. The cubic root of 420164192 is about 748.9848143359.

The spelling of 420164192 in words is "four hundred twenty million, one hundred sixty-four thousand, one hundred ninety-two".