1305478962 has 48 divisors (see below), whose sum is σ = 2870857080. Its totient is φ = 428691456.

The previous prime is 1305478957. The next prime is 1305478981. The reversal of 1305478962 is 2698745031.

1305478962 is a `hidden beast` number, since 13 + 0 + 547 + 8 + 96 + 2 = 666.

1305478962 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 954253881 + 351225081 = 30891^2 + 18741^2 .

1305478962 is strictly pandigital in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 405214 + ... + 408422.

It is a 1-persistent number, because it is pandigital, but 2⋅1305478962 = 2610957924 is not.

It is a vampire number, since it can be written as 19254 ⋅ 67803 (with its own digits).

Almost surely, 2^1305478962 is an apocalyptic number.

1305478962 is an abundant number, since it is smaller than the sum of its proper divisors (1565378118).

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

1305478962 is a wasteful number, since it uses less digits than its factorization.

1305478962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1305478962 is about 36131.4123997388. The cubic root of 1305478962 is about 1092.9239905211.

The spelling of 1305478962 in words is "one billion, three hundred five million, four hundred seventy-eight thousand, nine hundred sixty-two".