1307401000 has 64 divisors (see below), whose sum is σ = 3069827280. Its totient is φ = 521164800.

The previous prime is 1307400961. The next prime is 1307401013. The reversal of 1307401000 is 1047031.

It can be written as a sum of positive squares in 8 ways, for example, as 8375236 + 1299025764 = 2894^2 + 36042^2 .

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 15 ways as a sum of consecutive naturals, for example, 310912 + ... + 315088.

Almost surely, 2^1307401000 is an apocalyptic number.

1307401000 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 1307401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534913640).

1307401000 is an abundant number, since it is smaller than the sum of its proper divisors (1762426280).

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

1307401000 is a wasteful number, since it uses less digits than its factorization.

1307401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1307401000 is about 36158.0004978151. Note that the first 3 decimals coincide. The cubic root of 1307401000 is about 1093.4600929606.

Adding to 1307401000 its reverse (1047031), we get a palindrome (1308448031).

The spelling of 1307401000 in words is "one billion, three hundred seven million, four hundred one thousand".