1360460800 has 132 divisors (see below), whose sum is σ = 3551053720. Its totient is φ = 515358720.

The previous prime is 1360460797. The next prime is 1360460821. The reversal of 1360460800 is 80640631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485002 + ... + 487798.

Almost surely, 2^1360460800 is an apocalyptic number.

1360460800 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 1360460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775526860).

1360460800 is an abundant number, since it is smaller than the sum of its proper divisors (2190592920).

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

1360460800 is a wasteful number, since it uses less digits than its factorization.

1360460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1360460800 is about 36884.4248972381. The cubic root of 1360460800 is about 1108.0567683253.

The spelling of 1360460800 in words is "one billion, three hundred sixty million, four hundred sixty thousand, eight hundred".