420992 has 64 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 168960.

The previous prime is 420977. The next prime is 420997. The reversal of 420992 is 299024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420992.

It is not an unprimeable number, because it can be changed into a prime (420997) by changing a digit.

420992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18293 + ... + 18315.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2⁴²⁰⁹⁹² 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 420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

420992 is an abundant number, since it is smaller than the sum of its proper divisors (607168).

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

420992 is a wasteful number, since it uses less digits than its factorization.

420992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 420992 is about 648.8389630717. The cubic root of 420992 is about 74.9476375249.

The spelling of 420992 in words is "four hundred twenty thousand, nine hundred ninety-two".