1438922880 has 320 divisors, whose sum is σ = 5271761880. Its totient is φ = 373800960.

The previous prime is 1438922873. The next prime is 1438922909. The reversal of 1438922880 is 882298341.

It can be written as a sum of positive squares in 4 ways, for example, as 1229484096 + 209438784 = 35064^2 + 14472^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 2125102 + ... + 2125778.

Almost surely, 2^1438922880 is an apocalyptic number.

1438922880 is a gapful number since it is divisible by the number (10) 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 1438922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635880940).

1438922880 is an abundant number, since it is smaller than the sum of its proper divisors (3832839000).

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

1438922880 is an equidigital number, since it uses as much as digits as its factorization.

1438922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1438922880 is about 37933.1369649282. The cubic root of 1438922880 is about 1128.9616064464.

The spelling of 1438922880 in words is "one billion, four hundred thirty-eight million, nine hundred twenty-two thousand, eight hundred eighty".