1438414560 has 288 divisors, whose sum is σ = 5434490880. Its totient is φ = 343526400.

The previous prime is 1438414559. The next prime is 1438414583. The reversal of 1438414560 is 654148341.

1438414560 is a `hidden beast` number, since 1 + 4 + 3 + 84 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124001 + ... + 1125279.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^1438414560 is an apocalyptic number.

1438414560 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 1438414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

1438414560 is an abundant number, since it is smaller than the sum of its proper divisors (3996076320).

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

1438414560 is a wasteful number, since it uses less digits than its factorization.

1438414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1438414560 is about 37926.4361626557. The cubic root of 1438414560 is about 1128.8286502004.

The spelling of 1438414560 in words is "one billion, four hundred thirty-eight million, four hundred fourteen thousand, five hundred sixty".