420464 has 20 divisors (see below), whose sum is σ = 889080. Its totient is φ = 191040.

The previous prime is 420457. The next prime is 420467. The reversal of 420464 is 464024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420467) by changing a digit.

420464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1019 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (44454).

2⁴²⁰⁴⁶⁴ is an apocalyptic number.

420464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420464 is an abundant number, since it is smaller than the sum of its proper divisors (468616).

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

420464 is a wasteful number, since it uses less digits than its factorization.

420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 420464 is about 648.4319547956. The cubic root of 420464 is about 74.9162917924.

Adding to 420464 its reverse (464024), we get a palindrome (884488).

The spelling of 420464 in words is "four hundred twenty thousand, four hundred sixty-four".