493493145600 has 1248 divisors, whose sum is σ = 2038518415360. Its totient is φ = 102558597120.

The previous prime is 493493145553. The next prime is 493493145601. The reversal of 493493145600 is 6541394394.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 493493145600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493493145601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3550310331 + ... + 3550310469.

Almost surely, 2^493493145600 is an apocalyptic number.

493493145600 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 493493145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019259207680).

493493145600 is an abundant number, since it is smaller than the sum of its proper divisors (1545025269760).

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

493493145600 is a wasteful number, since it uses less digits than its factorization.

493493145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 493493145600 in words is "four hundred ninety-three billion, four hundred ninety-three million, one hundred forty-five thousand, six hundred".