424968768 has 280 divisors, whose sum is σ = 1475232000. Its totient is φ = 120911616.

The previous prime is 424968721. The next prime is 424968773. The reversal of 424968768 is 867869424.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1777993 + ... + 1778231.

Almost surely, 2^424968768 is an apocalyptic number.

424968768 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 424968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737616000).

424968768 is an abundant number, since it is smaller than the sum of its proper divisors (1050263232).

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

424968768 is an equidigital number, since it uses as much as digits as its factorization.

424968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 424968768 is about 20614.7706269073. The cubic root of 424968768 is about 751.8288806358.

The spelling of 424968768 in words is "four hundred twenty-four million, nine hundred sixty-eight thousand, seven hundred sixty-eight".