1405300000 has 288 divisors, whose sum is σ = 3968745984. Its totient is φ = 485760000.

The previous prime is 1405299941. The next prime is 1405300003. The reversal of 1405300000 is 35041.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1405300003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29899977 + ... + 29900023.

It is an arithmetic number, because the mean of its divisors is an integer number (13780368).

Almost surely, 2^1405300000 is an apocalyptic number.

1405300000 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 1405300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984372992).

1405300000 is an abundant number, since it is smaller than the sum of its proper divisors (2563445984).

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

1405300000 is an equidigital number, since it uses as much as digits as its factorization.

1405300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1405300000 is about 37487.3311933512. The cubic root of 1405300000 is about 1120.0988433173.

Adding to 1405300000 its reverse (35041), we get a palindrome (1405335041).

The spelling of 1405300000 in words is "one billion, four hundred five million, three hundred thousand".