1380395520 has 480 divisors, whose sum is σ = 5683886208. Its totient is φ = 314523648.

The previous prime is 1380395509. The next prime is 1380395521. The reversal of 1380395520 is 255930831.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1380395521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354402 + ... + 4354718.

Almost surely, 2^1380395520 is an apocalyptic number.

1380395520 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 1380395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841943104).

1380395520 is an abundant number, since it is smaller than the sum of its proper divisors (4303490688).

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

1380395520 is an frugal number, since it uses more digits than its factorization.

1380395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1380395520 is about 37153.6743808738. The cubic root of 1380395520 is about 1113.4426353141.

It can be divided in two parts, 1380 and 395520, that added together give a square (396900 = 630²).

The spelling of 1380395520 in words is "one billion, three hundred eighty million, three hundred ninety-five thousand, five hundred twenty".