1386468720 has 360 divisors, whose sum is σ = 5835001536. Its totient is φ = 292432896.

The previous prime is 1386468719. The next prime is 1386468739. The reversal of 1386468720 is 278646831.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1386468720³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457129 + ... + 460151.

Almost surely, 2^1386468720 is an apocalyptic number.

1386468720 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 1386468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917500768).

1386468720 is an abundant number, since it is smaller than the sum of its proper divisors (4448532816).

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

1386468720 is a wasteful number, since it uses less digits than its factorization.

1386468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1386468720 is about 37235.3154948364. The cubic root of 1386468720 is about 1115.0731503685.

The spelling of 1386468720 in words is "one billion, three hundred eighty-six million, four hundred sixty-eight thousand, seven hundred twenty".