493692480 has 336 divisors, whose sum is σ = 1802337264. Its totient is φ = 123863040.

The previous prime is 493692473. The next prime is 493692481. The reversal of 493692480 is 84296394.

493692480 is a `hidden beast` number, since 49 + 369 + 248 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94012416 + 399680064 = 9696^2 + 19992^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493692481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368904 + ... + 4369016.

It is an arithmetic number, because the mean of its divisors is an integer number (5364099).

Almost surely, 2^493692480 is an apocalyptic number.

493692480 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 493692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901168632).

493692480 is an abundant number, since it is smaller than the sum of its proper divisors (1308644784).

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

493692480 is a wasteful number, since it uses less digits than its factorization.

493692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 493692480 is about 22219.1917044703. The cubic root of 493692480 is about 790.3488711757.

The spelling of 493692480 in words is "four hundred ninety-three million, six hundred ninety-two thousand, four hundred eighty".