423644760 has 768 divisors, whose sum is σ = 1940889600. Its totient is φ = 77414400.

The previous prime is 423644747. The next prime is 423644773. The reversal of 423644760 is 67446324.

423644760 is a `hidden beast` number, since 4 + 2 + 3 + 644 + 7 + 6 + 0 = 666.

423644760 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (423644747) and next prime (423644773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 13665945 + ... + 13665975.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^423644760 is an apocalyptic number.

423644760 is a gapful number since it is divisible by the number (40) 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 423644760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970444800).

423644760 is an abundant number, since it is smaller than the sum of its proper divisors (1517244840).

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

423644760 is a wasteful number, since it uses less digits than its factorization.

423644760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 423644760 is about 20582.6324846945. The cubic root of 423644760 is about 751.0472835821.

The spelling of 423644760 in words is "four hundred twenty-three million, six hundred forty-four thousand, seven hundred sixty".