438489360 has 120 divisors (see below), whose sum is σ = 1479738624. Its totient is φ = 116363520.

The previous prime is 438489341. The next prime is 438489407. The reversal of 438489360 is 63984834.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159195 + ... + 161925.

Almost surely, 2^438489360 is an apocalyptic number.

438489360 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 438489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739869312).

438489360 is an abundant number, since it is smaller than the sum of its proper divisors (1041249264).

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

438489360 is a wasteful number, since it uses less digits than its factorization.

438489360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 438489360 is about 20940.1375353649. The cubic root of 438489360 is about 759.7190558995.

The spelling of 438489360 in words is "four hundred thirty-eight million, four hundred eighty-nine thousand, three hundred sixty".