438462640 has 320 divisors, whose sum is σ = 1388482560. Its totient is φ = 124600320.

The previous prime is 438462581. The next prime is 438462641. The reversal of 438462640 is 46264834.

It is a self number, because there is not a number n which added to its sum of digits gives 438462640.

It is not an unprimeable number, because it can be changed into a prime (438462641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5550121 + ... + 5550199.

It is an arithmetic number, because the mean of its divisors is an integer number (4339008).

Almost surely, 2^438462640 is an apocalyptic number.

438462640 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 438462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694241280).

438462640 is an abundant number, since it is smaller than the sum of its proper divisors (950019920).

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

438462640 is a wasteful number, since it uses less digits than its factorization.

438462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 438462640 is about 20939.4995164641. The cubic root of 438462640 is about 759.7036240500.

The spelling of 438462640 in words is "four hundred thirty-eight million, four hundred sixty-two thousand, six hundred forty".