493091820 has 96 divisors (see below), whose sum is σ = 1652091840. Its totient is φ = 121374720.

The previous prime is 493091813. The next prime is 493091821. The reversal of 493091820 is 28190394.

493091820 is a `hidden beast` number, since 493 + 0 + 91 + 82 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (493091821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28101 + ... + 42140.

It is an arithmetic number, because the mean of its divisors is an integer number (17209290).

Almost surely, 2^493091820 is an apocalyptic number.

It is an amenable number.

493091820 is an abundant number, since it is smaller than the sum of its proper divisors (1159000020).

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

493091820 is a wasteful number, since it uses less digits than its factorization.

493091820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70272 (or 70264 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 493091820 is about 22205.6708973181. The cubic root of 493091820 is about 790.0282102835.

The spelling of 493091820 in words is "four hundred ninety-three million, ninety-one thousand, eight hundred twenty".