1005715464 has 64 divisors (see below), whose sum is σ = 2720706240. Its totient is φ = 307964160.

The previous prime is 1005715453. The next prime is 1005715471. The reversal of 1005715464 is 4645175001.

It is a super-2 number, since 2×1005715464² = 2022927189057470592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58194 + ... + 73470.

It is an arithmetic number, because the mean of its divisors is an integer number (42511035).

Almost surely, 2^1005715464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005715464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360353120).

1005715464 is an abundant number, since it is smaller than the sum of its proper divisors (1714990776).

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

1005715464 is a wasteful number, since it uses less digits than its factorization.

1005715464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15510 (or 15506 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1005715464 is about 31713.0172642087. The cubic root of 1005715464 is about 1001.9015365336.

The spelling of 1005715464 in words is "one billion, five million, seven hundred fifteen thousand, four hundred sixty-four".