493098762240 has 720 divisors, whose sum is σ = 2021915250432. Its totient is φ = 112623353856.

The previous prime is 493098762223. The next prime is 493098762241. The reversal of 493098762240 is 42267890394.

493098762240 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 9 + 8 + 7 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (493098762241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371588457 + ... + 371589783.

Almost surely, 2^493098762240 is an apocalyptic number.

493098762240 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 493098762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010957625216).

493098762240 is an abundant number, since it is smaller than the sum of its proper divisors (1528816488192).

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

493098762240 is an frugal number, since it uses more digits than its factorization.

493098762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 493098762240 in words is "four hundred ninety-three billion, ninety-eight million, seven hundred sixty-two thousand, two hundred forty".