438935376 has 160 divisors (see below), whose sum is σ = 1328486400. Its totient is φ = 123402240.

The previous prime is 438935369. The next prime is 438935377. The reversal of 438935376 is 673539834.

It is a super-2 number, since 2×438935376² = 385328528608522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438935377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708795 + ... + 709413.

It is an arithmetic number, because the mean of its divisors is an integer number (8303040).

Almost surely, 2^438935376 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 438935376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664243200).

438935376 is an abundant number, since it is smaller than the sum of its proper divisors (889551024).

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

438935376 is a wasteful number, since it uses less digits than its factorization.

438935376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 438935376 is about 20950.7846153790. The cubic root of 438935376 is about 759.9765551401.

The spelling of 438935376 in words is "four hundred thirty-eight million, nine hundred thirty-five thousand, three hundred seventy-six".