493548480 has 168 divisors, whose sum is σ = 1705813200. Its totient is φ = 130977792.

The previous prime is 493548463. The next prime is 493548481. The reversal of 493548480 is 84845394.

It is a happy number.

493548480 is a `hidden beast` number, since 4 + 93 + 5 + 484 + 80 = 666.

It is a super-2 number, since 2×493548480² = 487180204220620800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493548481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177711 + ... + 1178129.

It is an arithmetic number, because the mean of its divisors is an integer number (10153650).

Almost surely, 2^493548480 is an apocalyptic number.

493548480 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 493548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852906600).

493548480 is an abundant number, since it is smaller than the sum of its proper divisors (1212264720).

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

493548480 is a wasteful number, since it uses less digits than its factorization.

493548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 493548480 is about 22215.9510262334. The cubic root of 493548480 is about 790.2720208358.

The spelling of 493548480 in words is "four hundred ninety-three million, five hundred forty-eight thousand, four hundred eighty".