438286464 has 448 divisors, whose sum is σ = 1658911680. Its totient is φ = 111974400.

The previous prime is 438286451. The next prime is 438286477. The reversal of 438286464 is 464682834.

It is an interprime number because it is at equal distance from previous prime (438286451) and next prime (438286477).

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

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 55 ways as a sum of consecutive naturals, for example, 7184994 + ... + 7185054.

Almost surely, 2^438286464 is an apocalyptic number.

438286464 is a gapful number since it is divisible by the number (44) 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 438286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829455840).

438286464 is an abundant number, since it is smaller than the sum of its proper divisors (1220625216).

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

438286464 is an equidigital number, since it uses as much as digits as its factorization.

438286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 438286464 is about 20935.2923074888. The cubic root of 438286464 is about 759.6018597919.

The spelling of 438286464 in words is "four hundred thirty-eight million, two hundred eighty-six thousand, four hundred sixty-four".