1363380480 has 864 divisors, whose sum is σ = 6198716160. Its totient is φ = 268369920.

The previous prime is 1363380479. The next prime is 1363380523. The reversal of 1363380480 is 840833631.

It is a happy number.

1363380480 is a `hidden beast` number, since 13 + 633 + 8 + 0 + 4 + 8 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25724134 + ... + 25724186.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^1363380480 is an apocalyptic number.

1363380480 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 1363380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099358080).

1363380480 is an abundant number, since it is smaller than the sum of its proper divisors (4835335680).

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

1363380480 is a wasteful number, since it uses less digits than its factorization.

1363380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1363380480 is about 36923.9824504346. The cubic root of 1363380480 is about 1108.8488674951.

The spelling of 1363380480 in words is "one billion, three hundred sixty-three million, three hundred eighty thousand, four hundred eighty".