438023664 has 180 divisors, whose sum is σ = 1362881520. Its totient is φ = 131189760.

The previous prime is 438023659. The next prime is 438023681. The reversal of 438023664 is 466320834.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 997557 + ... + 997995.

It is an arithmetic number, because the mean of its divisors is an integer number (7571564).

Almost surely, 2^438023664 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 438023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681440760).

438023664 is an abundant number, since it is smaller than the sum of its proper divisors (924857856).

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

438023664 is a wasteful number, since it uses less digits than its factorization.

438023664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 438023664 is about 20929.0148836490. The cubic root of 438023664 is about 759.4500083607.

The spelling of 438023664 in words is "four hundred thirty-eight million, twenty-three thousand, six hundred sixty-four".