420489344 has 64 divisors (see below), whose sum is σ = 926592480. Its totient is φ = 188467200.

The previous prime is 420489341. The next prime is 420489367. The reversal of 420489344 is 443984024.

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

It is a super-2 number, since 2×420489344² = 353622576835100672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420489298 and 420489307.

It is not an unprimeable number, because it can be changed into a prime (420489341) by changing a digit.

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, 100739 + ... + 104829.

Almost surely, 2^420489344 is an apocalyptic number.

420489344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296240).

420489344 is an abundant number, since it is smaller than the sum of its proper divisors (506103136).

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

420489344 is a wasteful number, since it uses less digits than its factorization.

420489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 420489344 is about 20505.8368275962. The cubic root of 420489344 is about 749.1779698696.

The spelling of 420489344 in words is "four hundred twenty million, four hundred eighty-nine thousand, three hundred forty-four".