1438378560 has 280 divisors, whose sum is σ = 5160361536. Its totient is φ = 380298240.

The previous prime is 1438378537. The next prime is 1438378561. The reversal of 1438378560 is 658738341.

1438378560 is a `hidden beast` number, since 1 + 4 + 3 + 83 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1438378561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5468989 + ... + 5469251.

Almost surely, 2^1438378560 is an apocalyptic number.

1438378560 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 1438378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580180768).

1438378560 is an abundant number, since it is smaller than the sum of its proper divisors (3721982976).

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

1438378560 is a wasteful number, since it uses less digits than its factorization.

1438378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1438378560 is about 37925.9615566962. The cubic root of 1438378560 is about 1128.8192328480.

The spelling of 1438378560 in words is "one billion, four hundred thirty-eight million, three hundred seventy-eight thousand, five hundred sixty".