493701740280 has 1152 divisors, whose sum is σ = 2141877600000. Its totient is φ = 100558983168.

The previous prime is 493701740267. The next prime is 493701740293. The reversal of 493701740280 is 82047107394.

493701740280 is a `hidden beast` number, since 4 + 93 + 70 + 17 + 402 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (493701740267) and next prime (493701740293).

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 287 ways as a sum of consecutive naturals, for example, 290582871 + ... + 290584569.

It is an arithmetic number, because the mean of its divisors is an integer number (1859268750).

Almost surely, 2^493701740280 is an apocalyptic number.

493701740280 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 493701740280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070938800000).

493701740280 is an abundant number, since it is smaller than the sum of its proper divisors (1648175859720).

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

493701740280 is a wasteful number, since it uses less digits than its factorization.

493701740280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 493701740280 in words is "four hundred ninety-three billion, seven hundred one million, seven hundred forty thousand, two hundred eighty".