1305415440 has 480 divisors, whose sum is σ = 5323159296. Its totient is φ = 291133440.

The previous prime is 1305415429. The next prime is 1305415469. The reversal of 1305415440 is 445145031.

It is a happy number.

1305415440 is a `hidden beast` number, since 1 + 30 + 541 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7212150 + ... + 7212330.

Almost surely, 2^1305415440 is an apocalyptic number.

1305415440 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 1305415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661579648).

1305415440 is an abundant number, since it is smaller than the sum of its proper divisors (4017743856).

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

1305415440 is a wasteful number, since it uses less digits than its factorization.

1305415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1305415440 is about 36130.5333478486. The cubic root of 1305415440 is about 1092.9062637338.

It can be divided in two parts, 130541 and 5440, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 1305415440 in words is "one billion, three hundred five million, four hundred fifteen thousand, four hundred forty".