493686720 has 336 divisors, whose sum is σ = 1840138560. Its totient is φ = 121110528.

The previous prime is 493686703. The next prime is 493686737. The reversal of 493686720 is 27686394.

It is an interprime number because it is at equal distance from previous prime (493686703) and next prime (493686737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920832 + ... + 1921088.

Almost surely, 2^493686720 is an apocalyptic number.

493686720 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 493686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920069280).

493686720 is an abundant number, since it is smaller than the sum of its proper divisors (1346451840).

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

493686720 is a wasteful number, since it uses less digits than its factorization.

493686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 493686720 is about 22219.0620864158. The cubic root of 493686720 is about 790.3457974490.

The spelling of 493686720 in words is "four hundred ninety-three million, six hundred eighty-six thousand, seven hundred twenty".