493146864 has 240 divisors, whose sum is σ = 1671321600. Its totient is φ = 132701184.

The previous prime is 493146859. The next prime is 493146877. The reversal of 493146864 is 468641394.

It is a super-3 number, since 3×493146864³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063257 + ... + 2063495.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2^493146864 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 493146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

493146864 is an abundant number, since it is smaller than the sum of its proper divisors (1178174736).

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

493146864 is a wasteful number, since it uses less digits than its factorization.

493146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

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

The square root of 493146864 is about 22206.9102758578. The cubic root of 493146864 is about 790.0576062250.

The spelling of 493146864 in words is "four hundred ninety-three million, one hundred forty-six thousand, eight hundred sixty-four".