1300400220 has 144 divisors (see below), whose sum is σ = 4419975168. Its totient is φ = 284296320.

The previous prime is 1300400207. The next prime is 1300400221. The reversal of 1300400220 is 220040031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300400196 and 1300400205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300400221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58005 + ... + 77235.

It is an arithmetic number, because the mean of its divisors is an integer number (30694272).

Almost surely, 2^1300400220 is an apocalyptic number.

1300400220 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 1300400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209987584).

1300400220 is an abundant number, since it is smaller than the sum of its proper divisors (3119574948).

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

1300400220 is a wasteful number, since it uses less digits than its factorization.

1300400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19280 (or 19271 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1300400220 is about 36061.0623803570. The cubic root of 1300400220 is about 1091.5048708670.

Adding to 1300400220 its reverse (220040031), we get a palindrome (1520440251).

The spelling of 1300400220 in words is "one billion, three hundred million, four hundred thousand, two hundred twenty".