420849 has 32 divisors (see below), whose sum is σ = 739200. Its totient is φ = 233280.

The previous prime is 420811. The next prime is 420851. The reversal of 420849 is 948024.

420849 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 420849 - 2⁸ = 420593 is a prime.

It is a super-2 number, since 2×420849² = 354227761602, which contains 22 as substring.

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

420849 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (420809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3807 + ... + 3915.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2⁴²⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

420849 is a deficient number, since it is larger than the sum of its proper divisors (318351).

420849 is a wasteful number, since it uses less digits than its factorization.

420849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420849 is about 648.7287568776. The cubic root of 420849 is about 74.9391506448.

The spelling of 420849 in words is "four hundred twenty thousand, eight hundred forty-nine".