493042464 has 240 divisors, whose sum is σ = 1532954808. Its totient is φ = 155271168.

The previous prime is 493042441. The next prime is 493042469. The reversal of 493042464 is 464240394.

It can be written as a sum of positive squares in 4 ways, for example, as 490179600 + 2862864 = 22140^2 + 1692^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (493042469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5082864 + ... + 5082960.

Almost surely, 2^493042464 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 493042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766477404).

493042464 is an abundant number, since it is smaller than the sum of its proper divisors (1039912344).

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

493042464 is a wasteful number, since it uses less digits than its factorization.

493042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 493042464 is about 22204.5595317718. The cubic root of 493042464 is about 790.0018501265.

The spelling of 493042464 in words is "four hundred ninety-three million, forty-two thousand, four hundred sixty-four".