424320768 has 216 divisors, whose sum is σ = 1339228800. Its totient is φ = 133622784.

The previous prime is 424320751. The next prime is 424320769. The reversal of 424320768 is 867023424.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×424320768² = 360096228312219648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424320769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181773 + ... + 1182131.

Almost surely, 2^424320768 is an apocalyptic number.

424320768 is a gapful number since it is divisible by the number (48) 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 424320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669614400).

424320768 is an abundant number, since it is smaller than the sum of its proper divisors (914908032).

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

424320768 is an equidigital number, since it uses as much as digits as its factorization.

424320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 424320768 is about 20599.0477449808. The cubic root of 424320768 is about 751.4465521886.

The spelling of 424320768 in words is "four hundred twenty-four million, three hundred twenty thousand, seven hundred sixty-eight".