493727400720 has 120 divisors (see below), whose sum is σ = 1658228371800. Its totient is φ = 131650541568.

The previous prime is 493727400689. The next prime is 493727400739. The reversal of 493727400720 is 27004727394.

493727400720 is a `hidden beast` number, since 493 + 72 + 74 + 0 + 0 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77346284544 + 416381116176 = 278112^2 + 645276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 17171316 + ... + 17200044.

It is an arithmetic number, because the mean of its divisors is an integer number (13818569765).

Almost surely, 2^493727400720 is an apocalyptic number.

493727400720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493727400720 is an abundant number, since it is smaller than the sum of its proper divisors (1164500971080).

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

493727400720 is a wasteful number, since it uses less digits than its factorization.

493727400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52617 (or 52608 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 493727400720 in words is "four hundred ninety-three billion, seven hundred twenty-seven million, four hundred thousand, seven hundred twenty".