493744680 has 512 divisors, whose sum is σ = 2032128000. Its totient is φ = 104924160.

The previous prime is 493744679. The next prime is 493744681. The reversal of 493744680 is 86447394.

It is an interprime number because it is at equal distance from previous prime (493744679) and next prime (493744681).

It is a super-3 number, since 3×493744680³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (493744681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3552051 + ... + 3552189.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^493744680 is an apocalyptic number.

493744680 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 493744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

493744680 is an abundant number, since it is smaller than the sum of its proper divisors (1538383320).

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

493744680 is a wasteful number, since it uses less digits than its factorization.

493744680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 493744680 is about 22220.3663336139. The cubic root of 493744680 is about 790.3767257334.

The spelling of 493744680 in words is "four hundred ninety-three million, seven hundred forty-four thousand, six hundred eighty".