1493460864 has 384 divisors, whose sum is σ = 5180947200. Its totient is φ = 404103168.

The previous prime is 1493460811. The next prime is 1493460869. The reversal of 1493460864 is 4680643941.

1493460864 is a `hidden beast` number, since 1 + 4 + 9 + 34 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1493460869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20458332 + ... + 20458404.

It is an arithmetic number, because the mean of its divisors is an integer number (13492050).

Almost surely, 2^1493460864 is an apocalyptic number.

1493460864 is a gapful number since it is divisible by the number (14) 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 1493460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590473600).

1493460864 is an abundant number, since it is smaller than the sum of its proper divisors (3687486336).

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

1493460864 is a wasteful number, since it uses less digits than its factorization.

1493460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1493460864 is about 38645.3213727095. The cubic root of 1493460864 is about 1143.0483879001.

The spelling of 1493460864 in words is "one billion, four hundred ninety-three million, four hundred sixty thousand, eight hundred sixty-four".