438932480 has 176 divisors, whose sum is σ = 1239597696. Its totient is φ = 145981440.

The previous prime is 438932479. The next prime is 438932497. The reversal of 438932480 is 84239834.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325915 + ... + 1326245.

Almost surely, 2^438932480 is an apocalyptic number.

438932480 is a gapful number since it is divisible by the number (40) 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 438932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619798848).

438932480 is an abundant number, since it is smaller than the sum of its proper divisors (800665216).

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

438932480 is a wasteful number, since it uses less digits than its factorization.

438932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 438932480 is about 20950.7155009083. The cubic root of 438932480 is about 759.9748837498.

The spelling of 438932480 in words is "four hundred thirty-eight million, nine hundred thirty-two thousand, four hundred eighty".