1381907520 has 448 divisors, whose sum is σ = 5665866240. Its totient is φ = 310542336.

The previous prime is 1381907497. The next prime is 1381907521. The reversal of 1381907520 is 257091831.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381907521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4414884 + ... + 4415196.

Almost surely, 2^1381907520 is an apocalyptic number.

1381907520 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 1381907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832933120).

1381907520 is an abundant number, since it is smaller than the sum of its proper divisors (4283958720).

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

1381907520 is a wasteful number, since it uses less digits than its factorization.

1381907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1381907520 is about 37174.0167321208. The cubic root of 1381907520 is about 1113.8490190733.

The spelling of 1381907520 in words is "one billion, three hundred eighty-one million, nine hundred seven thousand, five hundred twenty".