1438741920 has 576 divisors, whose sum is σ = 5907396096. Its totient is φ = 290949120.

The previous prime is 1438741919. The next prime is 1438741973. The reversal of 1438741920 is 291478341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17334199 + ... + 17334281.

It is an arithmetic number, because the mean of its divisors is an integer number (10255896).

Almost surely, 2^1438741920 is an apocalyptic number.

1438741920 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 1438741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953698048).

1438741920 is an abundant number, since it is smaller than the sum of its proper divisors (4468654176).

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

1438741920 is a wasteful number, since it uses less digits than its factorization.

1438741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1438741920 is about 37930.7516403248. The cubic root of 1438741920 is about 1128.9142781149.

The spelling of 1438741920 in words is "one billion, four hundred thirty-eight million, seven hundred forty-one thousand, nine hundred twenty".