493782564 has 192 divisors, whose sum is σ = 1393459200. Its totient is φ = 134467200.

The previous prime is 493782551. The next prime is 493782599. The reversal of 493782564 is 465287394.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6954649 + ... + 6954719.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^493782564 is an apocalyptic number.

493782564 is a gapful number since it is divisible by the number (44) 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 493782564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

493782564 is an abundant number, since it is smaller than the sum of its proper divisors (899676636).

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

493782564 is a wasteful number, since it uses less digits than its factorization.

493782564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 493782564 is about 22221.2187784559. The cubic root of 493782564 is about 790.3969398693.

The spelling of 493782564 in words is "four hundred ninety-three million, seven hundred eighty-two thousand, five hundred sixty-four".