493332840 has 576 divisors, whose sum is σ = 2212479360. Its totient is φ = 92067840.

The previous prime is 493332811. The next prime is 493332881. The reversal of 493332840 is 48233394.

It is a happy number.

493332840 is a `hidden beast` number, since 49 + 333 + 284 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 493332795 and 493332804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13333302 + ... + 13333338.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^493332840 is an apocalyptic number.

493332840 is a gapful number since it is divisible by the number (40) 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 493332840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106239680).

493332840 is an abundant number, since it is smaller than the sum of its proper divisors (1719146520).

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

493332840 is a wasteful number, since it uses less digits than its factorization.

493332840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 493332840 is about 22211.0972263866. The cubic root of 493332840 is about 790.1569094939.

It can be divided in two parts, 4933 and 32840, that added together give a palindrome (37773).

The spelling of 493332840 in words is "four hundred ninety-three million, three hundred thirty-two thousand, eight hundred forty".