421765344 has 648 divisors, whose sum is σ = 1738474920. Its totient is φ = 95800320.

The previous prime is 421765321. The next prime is 421765387. The reversal of 421765344 is 443567124.

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

Its product of digits (80640) is a multiple of the sum of its prime factors (84).

It is a junction number, because it is equal to n+sod(n) for n = 421765299 and 421765308.

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 107 ways as a sum of consecutive naturals, for example, 22198167 + ... + 22198185.

Almost surely, 2^421765344 is an apocalyptic number.

421765344 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 421765344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869237460).

421765344 is an abundant number, since it is smaller than the sum of its proper divisors (1316709576).

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

421765344 is a wasteful number, since it uses less digits than its factorization.

421765344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 421765344 is about 20536.9263523050. The cubic root of 421765344 is about 749.9350130358.

The spelling of 421765344 in words is "four hundred twenty-one million, seven hundred sixty-five thousand, three hundred forty-four".