493200840 has 96 divisors (see below), whose sum is σ = 1626387840. Its totient is φ = 119560320.

The previous prime is 493200833. The next prime is 493200859. The reversal of 493200840 is 48002394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 493200798 and 493200807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464 + ... + 31503.

It is an arithmetic number, because the mean of its divisors is an integer number (16941540).

Almost surely, 2^493200840 is an apocalyptic number.

493200840 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 493200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813193920).

493200840 is an abundant number, since it is smaller than the sum of its proper divisors (1133187000).

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

493200840 is a wasteful number, since it uses less digits than its factorization.

493200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34003 (or 33988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 493200840 is about 22208.1255399910. The cubic root of 493200840 is about 790.0864296829.

The spelling of 493200840 in words is "four hundred ninety-three million, two hundred thousand, eight hundred forty".