1438879520 has 144 divisors (see below), whose sum is σ = 3718794240. Its totient is φ = 525837312.

The previous prime is 1438879501. The next prime is 1438879597. The reversal of 1438879520 is 259788341.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 3433871 + ... + 3434289.

It is an arithmetic number, because the mean of its divisors is an integer number (25824960).

Almost surely, 2^1438879520 is an apocalyptic number.

1438879520 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 1438879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859397120).

1438879520 is an abundant number, since it is smaller than the sum of its proper divisors (2279914720).

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

1438879520 is a wasteful number, since it uses less digits than its factorization.

1438879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 1438879520 is about 37932.5654286656. The cubic root of 1438879520 is about 1128.9502664208.

The spelling of 1438879520 in words is "one billion, four hundred thirty-eight million, eight hundred seventy-nine thousand, five hundred twenty".