1305698940 has 480 divisors, whose sum is σ = 5348052864. Its totient is φ = 258785280.

The previous prime is 1305698939. The next prime is 1305698941. The reversal of 1305698940 is 498965031.

It is a happy number.

1305698940 is a `hidden beast` number, since 1 + 3 + 0 + 569 + 89 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1305698939) and next prime (1305698941).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305698941) by changing a digit.

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, 2505880 + ... + 2506400.

Almost surely, 2^1305698940 is an apocalyptic number.

1305698940 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 1305698940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674026432).

1305698940 is an abundant number, since it is smaller than the sum of its proper divisors (4042353924).

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

1305698940 is a wasteful number, since it uses less digits than its factorization.

1305698940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1305698940 is about 36134.4564093609. The cubic root of 1305698940 is about 1092.9853743090.

The spelling of 1305698940 in words is "one billion, three hundred five million, six hundred ninety-eight thousand, nine hundred forty".