493468416000 has 2304 divisors, whose sum is σ = 2237198745600. Its totient is φ = 106831872000.

The previous prime is 493468415989. The next prime is 493468416037. The reversal of 493468416000 is 614864394.

493468416000 is a `hidden beast` number, since 4 + 9 + 34 + 6 + 8 + 4 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×493468416000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10499327977 + ... + 10499328023.

It is an arithmetic number, because the mean of its divisors is an integer number (971006400).

Almost surely, 2^493468416000 is an apocalyptic number.

493468416000 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 493468416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118599372800).

493468416000 is an abundant number, since it is smaller than the sum of its proper divisors (1743730329600).

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

493468416000 is a wasteful number, since it uses less digits than its factorization.

493468416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 493468416000 in words is "four hundred ninety-three billion, four hundred sixty-eight million, four hundred sixteen thousand".