1438229520 has 560 divisors, whose sum is σ = 6193270272. Its totient is φ = 302330880.

The previous prime is 1438229519. The next prime is 1438229521. The reversal of 1438229520 is 259228341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1438229519) and next prime (1438229521).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1438229521) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 5306985 + ... + 5307255.

Almost surely, 2^1438229520 is an apocalyptic number.

1438229520 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 1438229520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096635136).

1438229520 is an abundant number, since it is smaller than the sum of its proper divisors (4755040752).

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

1438229520 is a wasteful number, since it uses less digits than its factorization.

1438229520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1438229520 is about 37923.9966248285. The cubic root of 1438229520 is about 1128.7802433371.

The spelling of 1438229520 in words is "one billion, four hundred thirty-eight million, two hundred twenty-nine thousand, five hundred twenty".