493780896 has 144 divisors (see below), whose sum is σ = 1656764928. Its totient is φ = 136512000.

The previous prime is 493780891. The next prime is 493780901. The reversal of 493780896 is 698087394.

493780896 is a `hidden beast` number, since 493 + 78 + 0 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (493780891) and next prime (493780901).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (493780891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58546 + ... + 66446.

It is an arithmetic number, because the mean of its divisors is an integer number (11505312).

Almost surely, 2^493780896 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 493780896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828382464).

493780896 is an abundant number, since it is smaller than the sum of its proper divisors (1162984032).

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

493780896 is a wasteful number, since it uses less digits than its factorization.

493780896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 493780896 is about 22221.1812467294. The cubic root of 493780896 is about 790.3960498800.

The spelling of 493780896 in words is "four hundred ninety-three million, seven hundred eighty thousand, eight hundred ninety-six".