1305724420 has 288 divisors, whose sum is σ = 3851608320. Its totient is φ = 360622080.

The previous prime is 1305724411. The next prime is 1305724477. The reversal of 1305724420 is 244275031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

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, 7547454 + ... + 7547626.

It is an arithmetic number, because the mean of its divisors is an integer number (13373640).

Almost surely, 2^1305724420 is an apocalyptic number.

1305724420 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 1305724420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925804160).

1305724420 is an abundant number, since it is smaller than the sum of its proper divisors (2545883900).

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

1305724420 is a wasteful number, since it uses less digits than its factorization.

1305724420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1305724420 is about 36134.8089797082. The cubic root of 1305724420 is about 1092.9924839332.

Adding to 1305724420 its reverse (244275031), we get a palindrome (1549999451).

The spelling of 1305724420 in words is "one billion, three hundred five million, seven hundred twenty-four thousand, four hundred twenty".