493002024840 has 384 divisors, whose sum is σ = 1751134694400. Its totient is φ = 119558799360.

The previous prime is 493002024839. The next prime is 493002024863. The reversal of 493002024840 is 48420200394.

493002024840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 493002024795 and 493002024804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213327285 + ... + 213329595.

It is an arithmetic number, because the mean of its divisors is an integer number (4560246600).

Almost surely, 2^493002024840 is an apocalyptic number.

493002024840 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 493002024840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875567347200).

493002024840 is an abundant number, since it is smaller than the sum of its proper divisors (1258132669560).

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

493002024840 is a wasteful number, since it uses less digits than its factorization.

493002024840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 493002024840 in words is "four hundred ninety-three billion, two million, twenty-four thousand, eight hundred forty".