493315120 has 40 divisors (see below), whose sum is σ = 1151801280. Its totient is φ = 196492800.

The previous prime is 493315103. The next prime is 493315127. The reversal of 493315120 is 21513394.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×493315120² = 486719615241228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493315127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6220 + ... + 32020.

It is an arithmetic number, because the mean of its divisors is an integer number (28795032).

Almost surely, 2^493315120 is an apocalyptic number.

493315120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493315120 is an abundant number, since it is smaller than the sum of its proper divisors (658486160).

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

493315120 is a wasteful number, since it uses less digits than its factorization.

493315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26053 (or 26047 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 493315120 is about 22210.6983231055. The cubic root of 493315120 is about 790.1474488438.

The spelling of 493315120 in words is "four hundred ninety-three million, three hundred fifteen thousand, one hundred twenty".