1014164460 has 144 divisors (see below), whose sum is σ = 3165786624. Its totient is φ = 262652544.

The previous prime is 1014164443. The next prime is 1014164483. The reversal of 1014164460 is 644614101.

1014164460 is a `hidden beast` number, since 1 + 0 + 14 + 1 + 644 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2190189 + ... + 2190651.

Almost surely, 2^1014164460 is an apocalyptic number.

1014164460 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 1014164460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582893312).

1014164460 is an abundant number, since it is smaller than the sum of its proper divisors (2151622164).

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

1014164460 is a wasteful number, since it uses less digits than its factorization.

1014164460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1014164460 is about 31845.9488789391. The cubic root of 1014164460 is about 1004.6993680132.

Adding to 1014164460 its reverse (644614101), we get a palindrome (1658778561).

The spelling of 1014164460 in words is "one billion, fourteen million, one hundred sixty-four thousand, four hundred sixty".