493794957600 has 864 divisors, whose sum is σ = 2062733976576. Its totient is φ = 108772761600.

The previous prime is 493794957581. The next prime is 493794957611. The reversal of 493794957600 is 6759497394.

493794957600 is a `hidden beast` number, since 4 + 9 + 3 + 79 + 495 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 495280302 + ... + 495281298.

It is an arithmetic number, because the mean of its divisors is an integer number (2387423584).

Almost surely, 2^493794957600 is an apocalyptic number.

493794957600 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 493794957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031366988288).

493794957600 is an abundant number, since it is smaller than the sum of its proper divisors (1568939018976).

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

493794957600 is a wasteful number, since it uses less digits than its factorization.

493794957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 493794957600 in words is "four hundred ninety-three billion, seven hundred ninety-four million, nine hundred fifty-seven thousand, six hundred".