438985360 has 160 divisors (see below), whose sum is σ = 1192423680. Its totient is φ = 148966400.

The previous prime is 438985331. The next prime is 438985397. The reversal of 438985360 is 63589834.

438985360 = 375² + 376² + ... + 1110².

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 438985360.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10706940 + ... + 10706980.

It is an arithmetic number, because the mean of its divisors is an integer number (7452648).

Almost surely, 2^438985360 is an apocalyptic number.

438985360 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 438985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596211840).

438985360 is an abundant number, since it is smaller than the sum of its proper divisors (753438320).

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

438985360 is a wasteful number, since it uses less digits than its factorization.

438985360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 438985360 is about 20951.9774723056. The cubic root of 438985360 is about 760.0054016237.

The spelling of 438985360 in words is "four hundred thirty-eight million, nine hundred eighty-five thousand, three hundred sixty".