1438961832 has 192 divisors, whose sum is σ = 4958928000. Its totient is φ = 373685760.

The previous prime is 1438961831. The next prime is 1438961837. The reversal of 1438961832 is 2381698341.

It is a super-2 number, since 2×1438961832² = 4141222307905592448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1438961831) 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 47 ways as a sum of consecutive naturals, for example, 269008 + ... + 274304.

It is an arithmetic number, because the mean of its divisors is an integer number (25827750).

Almost surely, 2^1438961832 is an apocalyptic number.

1438961832 is a gapful number since it is divisible by the number (12) 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 1438961832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479464000).

1438961832 is an abundant number, since it is smaller than the sum of its proper divisors (3519966168).

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

1438961832 is a wasteful number, since it uses less digits than its factorization.

1438961832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5320 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1438961832 is about 37933.6503911764. The cubic root of 1438961832 is about 1128.9717934449.

The spelling of 1438961832 in words is "one billion, four hundred thirty-eight million, nine hundred sixty-one thousand, eight hundred thirty-two".