493226496000 has 1040 divisors, whose sum is σ = 2102741097600. Its totient is φ = 112671129600.

The previous prime is 493226495963. The next prime is 493226496029. The reversal of 493226496000 is 694622394.

493226496000 is a `hidden beast` number, since 4 + 9 + 32 + 2 + 6 + 4 + 9 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290303151 + ... + 290304849.

It is an arithmetic number, because the mean of its divisors is an integer number (2021866440).

Almost surely, 2^493226496000 is an apocalyptic number.

493226496000 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 493226496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051370548800).

493226496000 is an abundant number, since it is smaller than the sum of its proper divisors (1609514601600).

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

493226496000 is an equidigital number, since it uses as much as digits as its factorization.

493226496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 493226496000 in words is "four hundred ninety-three billion, two hundred twenty-six million, four hundred ninety-six thousand".