493038100800 has 672 divisors, whose sum is σ = 2061022649600. Its totient is φ = 112312811520.

The previous prime is 493038100781. The next prime is 493038100847. The reversal of 493038100800 is 8001830394.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94648596 + ... + 94653804.

Almost surely, 2^493038100800 is an apocalyptic number.

493038100800 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 493038100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030511324800).

493038100800 is an abundant number, since it is smaller than the sum of its proper divisors (1567984548800).

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

493038100800 is a wasteful number, since it uses less digits than its factorization.

493038100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 493038100800 in words is "four hundred ninety-three billion, thirty-eight million, one hundred thousand, eight hundred".