493878459360 has 1152 divisors, whose sum is σ = 1973330916480. Its totient is φ = 102770933760.

The previous prime is 493878459307. The next prime is 493878459367. The reversal of 493878459360 is 63954878394.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 493878459291 and 493878459300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493878459367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1399088944 + ... + 1399089296.

It is an arithmetic number, because the mean of its divisors is an integer number (1712960865).

Almost surely, 2^493878459360 is an apocalyptic number.

493878459360 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 493878459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986665458240).

493878459360 is an abundant number, since it is smaller than the sum of its proper divisors (1479452457120).

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

493878459360 is a wasteful number, since it uses less digits than its factorization.

493878459360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 493878459360 in words is "four hundred ninety-three billion, eight hundred seventy-eight million, four hundred fifty-nine thousand, three hundred sixty".