493675680 has 192 divisors, whose sum is σ = 1642975488. Its totient is φ = 124354560.

The previous prime is 493675603. The next prime is 493675687. The reversal of 493675680 is 86576394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (493675687) 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, 1070650 + ... + 1071110.

It is an arithmetic number, because the mean of its divisors is an integer number (8557164).

Almost surely, 2^493675680 is an apocalyptic number.

493675680 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 493675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821487744).

493675680 is an abundant number, since it is smaller than the sum of its proper divisors (1149299808).

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

493675680 is a wasteful number, since it uses less digits than its factorization.

493675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 493675680 is about 22218.8136496979. The cubic root of 493675680 is about 790.3399060728.

The spelling of 493675680 in words is "four hundred ninety-three million, six hundred seventy-five thousand, six hundred eighty".