493116624 has 360 divisors, whose sum is σ = 1872963456. Its totient is φ = 117849600.

The previous prime is 493116587. The next prime is 493116629. The reversal of 493116624 is 426611394.

493116624 is a `hidden beast` number, since 493 + 1 + 166 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493116629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1585429 + ... + 1585739.

Almost surely, 2^493116624 is an apocalyptic number.

493116624 is a gapful number since it is divisible by the number (44) 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 493116624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936481728).

493116624 is an abundant number, since it is smaller than the sum of its proper divisors (1379846832).

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

493116624 is a wasteful number, since it uses less digits than its factorization.

493116624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 493116624 is about 22206.2293962753. The cubic root of 493116624 is about 790.0414569923.

The spelling of 493116624 in words is "four hundred ninety-three million, one hundred sixteen thousand, six hundred twenty-four".