493560720 has 240 divisors, whose sum is σ = 1766107200. Its totient is φ = 123171840.

The previous prime is 493560713. The next prime is 493560731. The reversal of 493560720 is 27065394.

493560720 is a `hidden beast` number, since 4 + 93 + 560 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1490955 + ... + 1491285.

It is an arithmetic number, because the mean of its divisors is an integer number (7358780).

Almost surely, 2^493560720 is an apocalyptic number.

493560720 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 493560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883053600).

493560720 is an abundant number, since it is smaller than the sum of its proper divisors (1272546480).

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

493560720 is a wasteful number, since it uses less digits than its factorization.

493560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 493560720 is about 22216.2265022663. The cubic root of 493560720 is about 790.2785536960.

It can be divided in two parts, 49 and 3560720, that added together give a square (3560769 = 1887²).

The spelling of 493560720 in words is "four hundred ninety-three million, five hundred sixty thousand, seven hundred twenty".