1351180800 has 360 divisors, whose sum is σ = 4981858596. Its totient is φ = 349470720.

The previous prime is 1351180799. The next prime is 1351180807. The reversal of 1351180800 is 80811531.

It can be written as a sum of positive squares in 6 ways, for example, as 427993344 + 923187456 = 20688^2 + 30384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1351180807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4262242 + ... + 4262558.

Almost surely, 2^1351180800 is an apocalyptic number.

1351180800 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 1351180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490929298).

1351180800 is an abundant number, since it is smaller than the sum of its proper divisors (3630677796).

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

1351180800 is a wasteful number, since it uses less digits than its factorization.

1351180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1351180800 is about 36758.4112823174. The cubic root of 1351180800 is about 1105.5315856449.

The spelling of 1351180800 in words is "one billion, three hundred fifty-one million, one hundred eighty thousand, eight hundred".