420313344 has 108 divisors (see below), whose sum is σ = 1229858448. Its totient is φ = 127339520.

The previous prime is 420313297. The next prime is 420313379. The reversal of 420313344 is 443313024.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 90667 + ... + 95189.

Almost surely, 2^420313344 is an apocalyptic number.

420313344 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 420313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614929224).

420313344 is an abundant number, since it is smaller than the sum of its proper divisors (809545104).

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

420313344 is a wasteful number, since it uses less digits than its factorization.

420313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 420313344 is about 20501.5449173959. The cubic root of 420313344 is about 749.0734299843.

Adding to 420313344 its reverse (443313024), we get a palindrome (863626368).

The spelling of 420313344 in words is "four hundred twenty million, three hundred thirteen thousand, three hundred forty-four".