1300218480 has 800 divisors, whose sum is σ = 5541877440. Its totient is φ = 278691840.

The previous prime is 1300218473. The next prime is 1300218511. The reversal of 1300218480 is 848120031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35141022 + ... + 35141058.

Almost surely, 2^1300218480 is an apocalyptic number.

1300218480 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 1300218480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770938720).

1300218480 is an abundant number, since it is smaller than the sum of its proper divisors (4241658960).

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

1300218480 is a wasteful number, since it uses less digits than its factorization.

1300218480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1300218480 is about 36058.5423998253. The cubic root of 1300218480 is about 1091.4540200253.

The spelling of 1300218480 in words is "one billion, three hundred million, two hundred eighteen thousand, four hundred eighty".