493796160 has 504 divisors, whose sum is σ = 2028946920. Its totient is φ = 109486080.

The previous prime is 493796153. The next prime is 493796209. The reversal of 493796160 is 61697394.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 468635904 = 5016^2 + 21648^2 .

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 71 ways as a sum of consecutive naturals, for example, 4530186 + ... + 4530294.

Almost surely, 2^493796160 is an apocalyptic number.

493796160 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 493796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014473460).

493796160 is an abundant number, since it is smaller than the sum of its proper divisors (1535150760).

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

493796160 is a wasteful number, since it uses less digits than its factorization.

493796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 493796160 is about 22221.5247001640. The cubic root of 493796160 is about 790.4041941677.

The spelling of 493796160 in words is "four hundred ninety-three million, seven hundred ninety-six thousand, one hundred sixty".