1305469440 has 640 divisors, whose sum is σ = 5409296640. Its totient is φ = 294912000.

The previous prime is 1305469393. The next prime is 1305469441. The reversal of 1305469440 is 449645031.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1305469395 and 1305469404.

It is not an unprimeable number, because it can be changed into a prime (1305469441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12925390 + ... + 12925490.

It is an arithmetic number, because the mean of its divisors is an integer number (8452026).

Almost surely, 2^1305469440 is an apocalyptic number.

1305469440 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 1305469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704648320).

1305469440 is an abundant number, since it is smaller than the sum of its proper divisors (4103827200).

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

1305469440 is a wasteful number, since it uses less digits than its factorization.

1305469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1305469440 is about 36131.2806305008. The cubic root of 1305469440 is about 1092.9213332978.

The spelling of 1305469440 in words is "one billion, three hundred five million, four hundred sixty-nine thousand, four hundred forty".