893512464 has 120 divisors (see below), whose sum is σ = 2608672320. Its totient is φ = 262918656.

The previous prime is 893512463. The next prime is 893512483. The reversal of 893512464 is 464215398.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (893512463) by changing a digit.

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, 184182 + ... + 188970.

It is an arithmetic number, because the mean of its divisors is an integer number (21738936).

Almost surely, 2^893512464 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 893512464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304336160).

893512464 is an abundant number, since it is smaller than the sum of its proper divisors (1715159856).

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

893512464 is a wasteful number, since it uses less digits than its factorization.

893512464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4830 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 893512464 is about 29891.6788421126. The cubic root of 893512464 is about 963.1639187026.

The spelling of 893512464 in words is "eight hundred ninety-three million, five hundred twelve thousand, four hundred sixty-four".