438216480 has 504 divisors, whose sum is σ = 1775735892. Its totient is φ = 101523456.

The previous prime is 438216479. The next prime is 438216491. The reversal of 438216480 is 84612834.

438216480 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 231891984 + 206324496 = 15228^2 + 14364^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25777432 + ... + 25777448.

Almost surely, 2^438216480 is an apocalyptic number.

438216480 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 438216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887867946).

438216480 is an abundant number, since it is smaller than the sum of its proper divisors (1337519412).

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

438216480 is a wasteful number, since it uses less digits than its factorization.

438216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 438216480 is about 20933.6208048202. The cubic root of 438216480 is about 759.5614274791.

The spelling of 438216480 in words is "four hundred thirty-eight million, two hundred sixteen thousand, four hundred eighty".