438038496 has 384 divisors, whose sum is σ = 1579253760. Its totient is φ = 115416576.

The previous prime is 438038477. The next prime is 438038501. The reversal of 438038496 is 694830834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6537855 + ... + 6537921.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^438038496 is an apocalyptic number.

438038496 is a gapful number since it is divisible by the number (46) 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 438038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

438038496 is an abundant number, since it is smaller than the sum of its proper divisors (1141215264).

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

438038496 is a wasteful number, since it uses less digits than its factorization.

438038496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 438038496 is about 20929.3692212642. The cubic root of 438038496 is about 759.4585802228.

The spelling of 438038496 in words is "four hundred thirty-eight million, thirty-eight thousand, four hundred ninety-six".