424486368 has 144 divisors (see below), whose sum is σ = 1248863616. Its totient is φ = 136684800.

The previous prime is 424486357. The next prime is 424486423. The reversal of 424486368 is 863684424.

424486368 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869871 + ... + 1870097.

It is an arithmetic number, because the mean of its divisors is an integer number (8672664).

Almost surely, 2^424486368 is an apocalyptic number.

424486368 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 424486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624431808).

424486368 is an abundant number, since it is smaller than the sum of its proper divisors (824377248).

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

424486368 is a wasteful number, since it uses less digits than its factorization.

424486368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 424486368 is about 20603.0669561597. The cubic root of 424486368 is about 751.5442953534.

The spelling of 424486368 in words is "four hundred twenty-four million, four hundred eighty-six thousand, three hundred sixty-eight".