493903872 has 448 divisors, whose sum is σ = 1887321600. Its totient is φ = 123863040.

The previous prime is 493903819. The next prime is 493903877. The reversal of 493903872 is 278309394.

It is a happy number.

493903872 is a `hidden beast` number, since 493 + 90 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493903877) 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, 17031154 + ... + 17031182.

Almost surely, 2^493903872 is an apocalyptic number.

493903872 is a gapful number since it is divisible by the number (42) 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 493903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943660800).

493903872 is an abundant number, since it is smaller than the sum of its proper divisors (1393417728).

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

493903872 is a wasteful number, since it uses less digits than its factorization.

493903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 493903872 is about 22223.9481640864. The cubic root of 493903872 is about 790.4616604084.

The spelling of 493903872 in words is "four hundred ninety-three million, nine hundred three thousand, eight hundred seventy-two".