424031664 has 160 divisors (see below), whose sum is σ = 1330708480. Its totient is φ = 113654016.

The previous prime is 424031653. The next prime is 424031693. The reversal of 424031664 is 466130424.

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 31 ways as a sum of consecutive naturals, for example, 810507 + ... + 811029.

It is an arithmetic number, because the mean of its divisors is an integer number (8316928).

Almost surely, 2^424031664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424031664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665354240).

424031664 is an abundant number, since it is smaller than the sum of its proper divisors (906676816).

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

424031664 is a wasteful number, since it uses less digits than its factorization.

424031664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 424031664 is about 20592.0291375085. The cubic root of 424031664 is about 751.2758514844.

The spelling of 424031664 in words is "four hundred twenty-four million, thirty-one thousand, six hundred sixty-four".